An engineer needs to determine the distance across a river without swimming to the other side. The engineer notices a tree on the other side of the river and suddenly has an idea.
Describe how she will sketch her idea to be able to determine the distance. Make a sketch and support you figure by number use meter as unit.

Answers

Answer 1

Answer:

Step-by-step explanation:

The engineer can use a clinometer to measure the angle of elevation of the top of the tree. Let the height of the tree be represented by x, the she could determine the distance across the river, d, by applying the trigonometric function.

Tan θ = [tex]\frac{opposite}{adjacent}[/tex]

           = [tex]\frac{x}{d}[/tex]

the the distance, d = x ÷ Tan θ

Assume the angle of elevation of the top of the tree is [tex]30^{o}[/tex], and the height of the tree is 10 m, then the distance, d, across the river would be;

d = [tex]\frac{10}{0.5774}[/tex]

  = 17.3190

d = 17.32 m

The sketch to the explanation is attached to this answer for more clarification.

An Engineer Needs To Determine The Distance Across A River Without Swimming To The Other Side. The Engineer

Related Questions

Divide 360 in the ratio 1:7

Answers

Answer: 45:315

Step-by-step explanation:

what is-12x + 16 – 4x = -112

Answers

Answer:

[tex]x=8[/tex]

Step-by-step explanation:

First, I wanna point out a minor mistake, are we supposed to figure out x?

If we are, let's start.

[tex]-12x+16-4x=-112.[/tex]

We don't need the [tex]16.[/tex]

We subtract the 16 from both sides.

SImplify, =[tex]16x=128[/tex]

Also, group like terms, and add similar elements.

Answer:

x = 8

Step-by-step explanation:

-12x + 16 - 4x = -112

Combine like terms on the left side.

-16x + 16 = -112

Subtract 16 from both sides.

-16x = -128

Divide both sides by 16.

x = 8

Check:

-12x + 16 - 4x =

= -12(8) + 16 - 4(8)

= -96 + 16 - 32

= -80 - 32

= -112

-112 = -112

x = 8 is correct.

Answer: x = 8

1. The vertical fence posts are 5 feet tall. The diagonal pieces are 9 feet. How far
apart should the fence posts be placed?

Answers

Answer:

Distance between fence and diagonal piece = 7.48 feet (Approx.)

Step-by-step explanation:

Given:

Vertical fence height = 5 feet

Length of diagonal piece = 9 feet

Find:

Distance between fence and diagonal piece

Computation:

Using trigonometry theorem;

Base = √Hypotenuse² - Perpendicular²

Distance between fence and diagonal piece = √Length of diagonal piece² - Vertical fence height²

Distance between fence and diagonal piece = √9² - 5²

Distance between fence and diagonal piece = √81 - 25

Distance between fence and diagonal piece = √56

Distance between fence and diagonal piece = 7.48 feet (Approx.)

???????????????????????????????????????????

Answers

Answer:

Uh dude their are no questions??

Step-by-step explanation:

Which type of sides are they and explain why they’re the correct answer!

Answers

Answer:

SAS.

Step-by-step explanation:

They are congruent  by 2 sides and the included angle

Divide. Round to the nearest tenth.
5.1)
104

Answers

Answer: 104

Step-by-step explanation:

Help pls and no links

Answers

Answer:

C) 4/(x+y)²

Step-by-step explanation:

start by expanding so it is written as 2÷(x+y)/(x+y)÷2.

Then rearrange so that it is 2×2/(x+y)×(x+y) or 4/(x+y)²

You wash 12 cars on Friday and 10 cars on Saturday for our fund-raiser you were also given a $40 donation from somebody who didn't want a car wash if you raised a total of $370 how much money did you earn per car wash

Answers

Answer:

$15

Step-by-step explanation:

370-40=330

12+10=22

330÷22=15

15*22=330

87654x0987







Would anyone like to r p with me??

Answers

Answer:

Answer is 86514499

Hope you like my answer

Answer:

hello how have u been?

Step-by-step explanation:

What is another way that you could write the ratio of pennies to quarters?

Answers

Answer:

1/100 to 25/100

or

0.01 to 0.25

Step-by-step explanation:

Pennies are also known as one per cent. Cent refers to 100 and pennies are called one per cent because they value 1 out of 100. 100 pennies equal one dollar.

Similarly, one quarter is 1/4 of a dollar and 1/4 equals 25/100 when multiplying the numerator and denominator by 25.

Help lol easy
You are having a bake sale and selling cupcakes. It cost you $.15 to make each cupcake. If you sold each cupcake for $1.00, what would your profit be on each cupcake?

Answers

Answer:

0.85 DOLLARS

Step-by-step explanation:

please and thank you!

Answers

Answer: ALALALALALALA

Step-by-step explanation: PAAPAPPAPAPAPPAPAPAPAPA

the first second and third bases on a baseball field are square cavas bags that each have an area of 225 square inches. what is the length of each base

Answers

Answer:

length = 15 in

Step-by-step explanation:

length = √225 = 15 in

(IN SPANISH)
NEED AN AWNSER ASAP THANK YOU.

Answers

The answer is 51
8 1/2x6=51

Decrease 117kg in the ratio 10:13​

Answers

Answer:

50.87 : 66.13.

Step-by-step explanation:

10/(10+13) * 117

= 10 * 117 / 23

= 50.87.

117 - 50.87 = 66.13.

When 117 kg is decreased in 10:13, then it is partitioned in two parts, first part being of  50.87 kg and second part being of 66.13 kg approximately.

What is ratio of two quantities?

Suppose that we've got two quantities with measurements as 'a' and 'b'

Then, their ratio(ratio of a to b) a:b or [tex]\dfrac{a}{b}[/tex]

We usually cancel out the common factors from both the numerator and the denominator of the fraction we obtained. Numerator is the upper quantity in the fraction and denominator is the lower quantity in the fraction).

Suppose that we've got a = 6, and b= 4, then:

[tex]a:b = 6:2 = \dfrac{6}{2} = \dfrac{2 \times 3}{2 \times 1} = \dfrac{3}{1} = 3\\or\\a : b = 3 : 1 = 3/1 = 3[/tex]

Remember that the ratio should always be taken of quantities with same unit of measurement. Also, ratio is a unit-less(no units) quantity.

Therefore, suppose the given 117 kg of amount is divided in two parts viz [tex]x \: \rm kg[/tex] and [tex]y \: \rm kg[/tex] having ratio as 10:13

Then, we get two equations as:

[tex]x + y = 117[/tex]

[tex]\dfrac{x}{y} = \dfrac{10}{13}[/tex]

From the second equation, we get x in terms of y as:

[tex]\dfrac{x}{y} = \dfrac{10}{13}\\\\\text{Multiplying y on both the sides}\\\\x = \dfrac{10y}{13}[/tex]

Putting this value of x in first equation, we get:

[tex]x + y = 117\\\\\dfrac{10y}{13} + y = 117\\\\\dfrac{10y + 13y}{13} = 117\\\\23y = 117 \times 13\\y = \dfrac{1521}{23} \approx 66.13[/tex] (in kg)

And therefore, from the expression for x, we get:

[tex]x = \dfrac{10y}{13} \approx \dfrac{10 \times 66.13}{13} \approx 50.87[/tex] (in kg)

Thus, when 117 kg is decreased in 10:13, then it is partitioned in two parts, first part being of  50.87 kg and second part being of 66.13 kg approximately.

Learn more about ratio here:

brainly.com/question/186659

Mark runs to catch a ball. Explain how the structure of muscle tissue helps him perform this function

Answers

Answer:

Muscles give structure and power for any kind of movement, so the tissue needs to be flexible and tightly packed for movement. The tight bands of tissue shown in the picture allows this movement to occur.

Step-by-step explanation:

By running your muscles can get stronger in power so it gives you a better chance to catch the ball with your speed and strength.

Answer:

Muscles give structure and power for any kind of movement, so the tissue needs to be flexible and tightly packed for movement. The tight bands of tissue shown in the picture allows this movement to occur.

Step-by-step explanation:

Edmentum Answer

70% of the books on a bookshelf are English books. If there are 35 English books on the bookshelf, find the number of books on the bookshelf.

Answers

Answer:

I'm pretty sure it would be 50 books on the shelf

There would be 50 books

70% = 35
35 divided by 70 = 0.5
0.5 x 100 = 50

$60 invested at 7​% compounded continuously after a period of 2 years, after 2 years the investment results in?

Answers

Answer: 8.40 dollars worth of intrest

Step-by-step explanation:


Charlie deposits $1,000 on the first day of each year into his investment account. The
account grows at a rate of 8 percent per year. To the nearest dollar, how much money will
be in the account on the first day of the 11th year?

$16,645
$14,487
$1.087
$18.977

Answers

Answer:

The answer is $16,645

Step-by-step explanation:

An image has point W'(7,-3), and the pre-image has point W(21,-9). This is an enlargement

True or False

Answers

Answer:

true

Step-by-step explanation:

Answer:

FALSE!

Step-by-step explanation:

brainliest would be appreciated (wink wink)

Ciara drives an average of 43.6 miles per week

Work out an estimate for the number of miles Ciara drives in a year.

Answers

Answer:

About 2288 miles

Step-by-step explanation:

43.6 rounded is 44.  There are 52 weeks in a year.  Therefore, 44x52 equals about 2288

Number 16 please help 10 points no links pleAse

Answers

I think the answer is C

What is the 22nd­ term of the arithmetic sequence ­­­ ­ ­ ­­ ­ ­ ­ ­­ 12 , 17 ,­ 22 , 27 , .... , .... , ....

Answers

Answer: 117

Step-by-step explanation:

Formula for arithmetic sequence is:

= a + (n - 1)d

22nd term = a + (n - 1)d

= a + (22 - 1)d = a + 21d

where, a = 12

d = 17 - 12 = 5.

Therefore, 22nd term will be:

= a + 21d

= 12 + 21(5)

= 12 + 105

= 117

The 22nd term is 117

(WILL GIVE BRAINLIEST TO EVERY QUESTION ANSWERED ON MY PROFIL) Debra Goforth’s savings account shows a balance of $904.31 on March 1st. The same day, she made a deposit of $375 to the account. She also made deposits of $500 on April 1st and May 1st. The bank pays an annual interest rate of 5.5 percent. Use your Compounded Daily chart to calculate the amount in her account on May 29th.

Answers

Answer:

$4625.10

Step-by-step explanation:

Her account already had $904.31

You now need to add $375.

Then add $500 twice.

Because of how banks work, we need to find out how much they pay monthly. There are 12 months in a year. 5.5 divided by 12 is 0.45.

45% of 1279.31 is 575.68

Now we add the $575.68 to $1279.31

April is a new month and she deposited $500.

45% of 1854.99 is 834.74

Add $834.74 to $1854.99

Then she deposits 500 on May, another new month.

I think this step is obvious. Just follow what you did last time.

This leaves her with $4625.10

The function g(x) is a translation of f(x) = (x + 3)2 – 10. The axis of symmetry of g(x) is 5 units to the right of f(x) . Which function could be g(x)?

g(x) = (x – 2)2 + k
g(x) = (x + 8)2 + k
g(x) = (x – h)2 – 5
g(x) = (x – h)2 – 15

Answers

Answer:

a.

g(x) = (x – 2)2 + k  

Step-by-step explanation:

The function that could be g(x) is (a) g(x) = (x - 2)^2 + k

How to determine the function?

The function f(x) is given as:

f(x) = (x + 3)^2 - 10

The axis of symmetry of g(x) is 5 units to the right of f(x).

This means that:

g(x) = f(x - 5)

So, we have:

f(x - 5) = (x - 5+ 3)^2 + k

Evaluate the difference

f(x - 5) = (x - 2)^2 + k

Substitute g(x) = f(x - 5)

g(x) = (x - 2)^2 + k

Hence, the function that could be g(x) is (a) g(x) = (x - 2)^2 + k

Read more about axis of symmetry at:

https://brainly.com/question/15709421

#SPJ9

(12x5+3x25)-8

12x5=60
3x25=75
60+75=135
135-8=127

Answers

Answer:

127

Step-by-step explanation:

Pls pls helppp and thank youuu

Answers

Answer:

Kids

Step-by-step explanation:

Because 62 percent of the kids preferred pencil when only 43 percent of the adults preferred pencils.

Colton is going to invest in an account paying in interest rate of 6.3% compounded continuously how much wood coating need to invest to the nearest dollar for the value of the account to reach 22,700 in 16 years

Answers

Answer:

8284

Step-by-step explanation: I had the same question

PLZ HURRY WHAT IS 1+1

Answers

Answer:

2

Step-by-step explanation:

Answer:

2 is your answer!

Hope it helps!!!

Help me please!!!!!!!!!!!!

Answers

Answer: +9,+5

Step-by-step explanation:

Other Questions
PLEASE HELP ASAP!!(please do not put a link for an answer)Why were Southern states concerned about Kansas and Nebraska becomingstates in the 1850s?A. Both new states supported popular sovereignty, which weakenedfederal power.B. Both new states supported Democratic leaders, who wereunpopular in the South.C. Both new states had huge populations, giving them more politicalpowerD. Both new states were located in the North, where slavery could bebanned. which of the following statements is accurate for DNA replication in your cells but not PCR What did Roger Sherman contribute to the drafting of theConstitution? Blake has a mild case of irritable bowel syndrome, which affects his ability to absorb nutrients. Which of these will most likely help with Bens symptoms?physical therapydietary therapysurgeryphysical aids Explain why gases are more compressible than solid find the slope when given the following points (1 6) and (3 -4) "On a good day, it takes Mr. Hess 23 minutes (1380 seconds) to drive the 12 miles (19,300 meters). What is his average velocity on the way to school?"I uh, don't understand this at all. If someone could help me solve this, I'd greatly appreciate it! Read the procedural text.Plain Taffy3.5 lbs. white sugar2 cups water1 teaspoon cream of tartarPut the sugar and water in a clean pan. Heat mixture over medium-high heat, stirring occasionally until melted. Continue heating to a slow boil.Add the cream of tartar and put a lid on the pan. Allow mixture to boil in this way for ten minutes.Remove the lid and immerse a candy thermometer in the boiling liquid. Boil to 310 degrees.Quickly remove pan from heat and pour contents into oiled frames, tins, or onto a pouring slab.Cut into bars or squares with a knife or taffy cutter while still warm.Allow taffy to cool before eating.Which words tell a specific detail in the procedure?Plain Taffy3.5 lbs. white sugar2 cups waterBoil to 310 degrees. correct gets brainlyest Joseph McCarthy's fears appeared to be directed at A. How communism had infiltrated the government after WWII B. Congress's attempts to stamp out communism after WWII c. Southern Democrats' unwillingness to support Civil Rights D. The need to build interstate highways after WWII How did the counterculture of the late 1960s and 1970s influence the U.S. views of the Vietnam War? On Monday, the temperature at 10 a.m. at Sam's house was -6 Fahrenheit. The temperature at 2 p.m. at Sam's housewas 2 Fahrenheit.Which statement about the change in temperature from 10a.m. to 2 p.m. at Sam's house is true? PLEASE HELPPPP 80 points!!!!! What is the similarities of block and modified bloack and semi block style? What were Rebecca L. Feltons reform movements? Is this a Percent Increase or Decrease Problem?Shaleka had a 10%-off coupon and paid $36 for pair ofjeans. y= 1/2 x - 4 What is the rise?A) 1B) 2C) -4 20 points woah only real answers too thanks. What will happen to the gravitational force between stars as the universe continues to expand? "A marriage proposal- part 2" READING PLUS Brianna planted daffodils and tulips in her garden she planted 4 daffodils for every 3 tulips if Brianna planted 28 flowers in all how many tulips did she plant And Question 4 I love you whoever help me. Write an essy on "Roles of games and sports in student's life" in 150 words.