A building 240 feet tall casts a 40 foot long shadow. If a person stands at the end of the shadow and looks up to the top of the building, what is the angle of the person's eyes to the top of the building (to the nearest hundredth of a degree)? (Assume the person's eyes are 4 feet above ground level.)

Answers

Answer 1

9514 1404 393

Answer:

  80.38°

Step-by-step explanation:

The relevant trig relation is ...

  Tan = Opposite/Adjacent

The person is standing 40 ft from the building. The point they're looking at is 236 ft above their eyes. So the angle α is found from ...

  tan(α) = 236/40

  α = arctan(236/40) ≈ 80.38°


Related Questions

Three vans can carry
18 adults. How many
adults are in 7 vans?

Answers

Answer:

42

Step-by-step explanation:

18/3= 6

6x7= 42

Answer:

42 with u need me to explain just say it in the comments :) hope this help

Step-by-step explanation:

Write an equation in slope-intercept form for the line with slope -8 and y-intercept 8. The. Graph is he line.

Answers

Answer:

y=-8x+8

Step-by-step explanation:

y=mx+b where m=slope and b=y-intercept

y=-8x+8

Jim has 28 mangoes he gave Tom 8 how many does Jim has

Answers

Answer: 20 mangoes.

Step-by-step explanation: This is a simple subtraction problem. If you take away 8 from 28, you'll have 20.

28 - 8 = 20

Please help ASP!!!! A= positive, B=Negative, C=Zero​

Answers

Answer:

B. Negative

Step-by-step explanation:

So first, we want to locate the variable.

y (x/y) = (y/1) (x/y)

           = (xy/y)

           = x

The y/y cancels out and now we know we need to find the sign of x. Because x is to the left of 0, it's negative. Anything to the left decreases and anything to the left of 0 is (-).

Simplify the expression $(x-4)(x-7) + (3-x)(2+x).$
Help please! make sure to remember you have to simplify! not solve!

Answers

x^2-7x-4x+28+6+3x-2x-x^2
=> -10x+34
This is the simplest form I can think of.

6×squared plus 15×plus 4×​

Answers

Answer:

56

Step-by-step explanation:

6^2 = 36

36 + 15 = 51

51 + 4 = 56

Does anyone have the answer key to this? Need it ASAP!

Answers

Answers
1. Square root of 80
2. Square root of 53
3. Square root of 269
4. Square root of 369

Explanation/Advice
This entire homework uses the Pythagorean Therom, so practice it to prepare for your quiz/test.

The Distance between point A and Point B is √10 units.

What is Distance?

Distance is a numerical measurement of how far apart objects or points are. In Physics or everyday usage, distance may refer to a physical length or an estimation based on other criteria.

Here, Coordinates of A is (1, 8) and B is (4, 9).

Distance formula = √(x₂-x₁)² + (y₂-y₁)²

                              = √(4 - 1)² + (9 - 8)²

                             = √9 +1

                   AB     = √10

Thus, the Distance between point A and Point B is √10 units.

Learn more about Distance from:

https://brainly.com/question/12319416

#SPJ2

40 POINTS !! 40 POINTS !!

PLEASE HELP , DONT SKIP !

NO LINKS OR FILES.

Answers

Answer:

36?

Step-by-step explanation:

split in two, triangle 6x6=36/2=18, rectangle 6x3=18, whole 18+18=36 your answer is 36

Answer:

it's 36 square feet

Step-by-step explanation:

A 29-foot rope is cut into two pieces. The longer piece is 2 feet longer than twice the shorter piece. How long is each piece?

Answers

Answer:

20 is the longer piece, 9 is the shorter piece

Step-by-step explanation:

9*2=18

18+2=20

20+9=29

Nathaniel is using the quadratic formula to solve 0 = x2 + 5x - 6. His steps are shown below.
What are the solutions to the attached equation?

Answers

Answer:

x = -6, 1

Step-by-step explanation:

x=[tex]\frac{-5+\sqrt{49} }{2}[/tex] or x= [tex]\frac{-5-\sqrt{49} }{2}[/tex]

x=[tex]\frac{-5+7}{2}[/tex] or x=[tex]\frac{-5-7}{2}[/tex]

x=2/2 or x=-12/2

x = 1, -6

howdy!!

yr answer is B. x = -6, 1

goodluck on edge!! ^_^

58% of a $148 selling price goes toward paying expenses. How many dollars of the selling price is profit?​

Answers

Answer:

62.16

Step-by-step explanation:



Subtract y from 5....

Answers

Answer:

5y-y= 5? I don’t know  I’m not totally sure.

Step-by-step explanation:

The polynomial - 16 + v.t+s, represents the height (in feet) of an object, where v, is the initial vertical

velocity (in feet per second), s, is the initial height of the object (in feet), and is the time in seconds). Write a polynomial that represents the

height of the object. Then find the height of the object after 1 second.

Answers

Complete question is;

The polynomial -16t² + v_o(t) + s_o represents the height (in feet) of an object, where v_o is the initial vertical

velocity (in feet per second), s_o is the initial height of the object (in feet), and t is the time in seconds. Write a polynomial that represents the height of the object that has an initial velocity of 25 ft/s and initial height of 4ft. Then find the height of the object after 1 second.

Answer:

A) Polynomial is h(t) = -16t² + 25t+ 4

B) h(1) = 13 ft

Step-by-step explanation:

A) We are given;

h = -16t² + v_o(t) + s_o

Where;

v_o = the initial vertical velocity

s_o = the initial height of the object

t = the time

We are given;

v_o = 25 ft/s

s_o = 4 ft

Thus, polynomial that represents the height is;

h(t) = -16t² + 25t+ 4

B) after a time of 1 second, height is;

h(1) = -16(1²) + 25(1) + 4

h(1) = -16 + 25 + 4

h(1) = 13 ft

The Candy Store is selling packs of gummies. A pack has 2 and 1/3 pound
of pineapple gummies and 1 and 5/6 pound of strawberry gummies. How
may pounds of gummies is in a pack?

Answers

The answer is 25/6 pounds or 4 and 1/6 pounds.

4 in.
3 in.
2 in.
2 in.
6 in.
Find the surface area.
square inches
(Hint: The rectangular faces
are different sizes.)

Answers

Answer:

The correct answer is 5in

Step-by-step explanation:

6+4=10÷2=5in

P=(L+B), then B=_____?

Answers

Answer:

P = L+B

B = P-L

Hope it helps

In the figure, two poles are 25 m and 35 m high. A cable 23 m long Joins the tops of the poles. Find the distance between the poles.​

Answers

Answer: 20.71 m

Step-by-step explanation:

Given

the length of the poles are 25m and 35 m

The length of the cable is 23 m

Suppose the distance between them is x

From the figure, apply Pythagoras theorem

[tex]\Rightarrow 23^=x^2+10^2\\\Rightarrow 529-100=x^2\\\Rightarrow x^2=429\\\\\Rightarrow x=\sqrt{429}=20.71\ m[/tex]

Distance between Poles is 20.71 m

4.
In order to purchase a new CD player, Rosa must
save at least $85.00. What inequality represents
the amount of money, m, Rosa must save?

Answers

M >= 85. The >= sign means greater than or equal to.

student were asked to choose their favorite food and 5/6 chose either pizza or tacos if 2/6 of the students chose pizza what fraction chose tacos

Answers

Answer:

3/6 or 1/2

Step-by-step explanation:

the amount that chose pizza = 2/6

5/6 = the amount that chose pizza + the amount that chose tacos

5/6 = 2/6 + the amount that chose tacos

the amount that chose tacos = 5/6 - 2/6

the amount that chose tacos = (5-2)/6

the amount that chose tacos=3/6=1/2

Answer:

3/6

Step-by-step explanation:

ANSWER !!
ILL GIVE 40 POINTS !!
DONT SKIP :((
PLUS BRAINLIEST !

Answers

Answer:

The first one and the fourth one

Step-by-step explanation:

I’m pretty sure that is right

Answer:

A and C in my options below!

Step-by-step explanation:

3^2*3^-6 = 0.0123456790123

A. (3^-2)^2 = 0.0123456790123

B. 2^-12 = 0.000244140625

C. 1/3^4 = 0.0123456790123

D. (3^7)/3^3 = 81

does anyone know the answer and how to show your work

Answers

Answer:  (A)-2, -1

(b) 3,0

(C) 7,2

Step-by-step explanation:

So you just go and write the place and which ever one isnt there then theres you answer. I THINK

A gym knows that each member, on average, spends 70 minutes at the gym per week, with a standard deviation of 20 minutes. Assume the amount of time each customer spends at the gym is normally distributed. Suppose the gym surveys a random sample of 49 members about the amount of time they spend at the gym each week. What are the expected value and standard deviation (standard error) of the sample mean of the time spent at the gym

Answers

Answer:

the expected value and the standard deviation of the sample mean is 70 and 2.86 respectively

Step-by-step explanation:

The computation of the expected value and the standard deviation of the sample mean is shown below:

The mean is 70

And, the standard deviation is

= 20 ÷ √49

= 20 ÷ 7

= 2.86

Hence, the expected value and the standard deviation of the sample mean is 70 and 2.86 respectively

I would appreciate if someone could help me with this problem and answer it I will give you a brainlist :)

Answers

To me from the picture, all sides look the same. so I’m guessing it’s probably 11

(i will mark brainly)
Use the table to write a proportion.

Answers

Answer:

One proportion is 15 songs / 2.5 hours = 18 songs / h hours.

ok I'll try to answer

first the given 15/2.5=18/h

so the second hour is missing so we have to multiply cross then the result will be

15h=45

divide 15 for 15 and we got h

again divide 45 for 15

[h=3]

Angle A corresponds to Angle
OB
Oc
ОЕ
OD
none of the above

Answers

Answer:

A corresponds to angle E

Mathematics challenge

Answers

Get the equation of the line containing PQ using the point-slope formula:

y - (-2) = 3/2 (x - (-6))

Solve for y to get it in slope-intercept form:

y = 3/2 x + 7

so the y-intercept is (0, 7).

The line containing QR is then

y - 7 = -3/4 (x - 0)

or

y = -3/4 x + 7

The point R is on the x-axis, so its y-coordinate is 0. Plug in y = 0 and solve for x to get the other coordinate:

0 = -3/4 x + 7

3/4 x = 7

x = 4/3×7 = 28/3

So the point R has coordinates (28/3, 0).

Answer:

Point R is on the x-axis, so its y-coordinate is 0. Plug in y = 0 and solve for x to get the other coordinate:

0 = -3/4 x + 7

Take off the zero...

3/4 x = 7

Answer

x = 4/3×7 = 28/3

And there it is

Point R has the coordinates (28/3, 0).

Step-by-step explanation:

Which of the following is NOT a solution to the system of inequalities?

Answers

Answer:

(2;-2)

Step-by-step explanation:

for more details see the attached picture.

Solve for the area of the triangle in each of the following problems.

Answers

Answer:

area of triangle = 1/2×base×height

area of triangle =1/2×15m×16m

area of triangle =120m²

Subtract 11x - 4y from the sum of 15x + 15y and - 18x + 15y.

Answers

Answer:

-14x + 34y

Step-by-step explanation:

First, find the sum of the two expressions by adding like terms:

(15x + 15y) + (-18x + 15y)

= -3x + 30y

Now, subtract 11x - 4y, again by combining like terms:

(-3x + 30y) - (11x - 4y)

= -14x + 34y

So, the answer is -14x + 34y

Solve for x. Assume that lines which appear tangent are tangent.

Answers

Answer:

Step-by-step explanation:

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