Mathematics High School

A flagpole that is 21 ft tall casts a shadow that is 30 ft long. What is the angle of elevation of the sun when this shadow is cast?

Answers

Answer 1

Answer:

34.99°

Step-by-step explanation:

CHECK THE ATTACHMENT FOR THE FIQURE

Let angle( X) = angle if elevation

From trigonometry, tan(X)= opposite/ adjacent

Height of the flagpole= 21 ft , which is the opposite side

The base, adjacent side = 30 ft

If we substitute the values we have

Tan(X) = 21/30

Tan(X)= 0.7

Tan-1(0.7)=34.99°

Hence, the angle of elevation of the sun when this shadow will cast is 34.99°

A Flagpole That Is 21 Ft Tall Casts A Shadow That Is 30 Ft Long. What Is The Angle Of Elevation Of The

Related Questions

10, 16, 18, 20, 20, 21, 24, 25,
Q2 (median):
Q1:
Q3:
Interquartile Range (IQR): Q3-Q1 -

Answers

Answer:

Q1 --> 17

Q2 --> 20

Q3 --> 22.5

Interquartile

Range IQR 5.5

Step-by-step explanation:

Step 1

We rearrange the given data set

10, 16, 18, 20, 20, 21, 24, 25

Q2 (median):

Q1:

Q3:

Interquartile Range (IQR): Q3-Q1 -

A scientist has collected the following data on the population of a bacteria colony over a thirty-minute period:

5 minutes: 78,000
10 minutes: 234,000
15 minutes: 657,000
20 minutes: 1,784,000
25 minutes: 5,040,000
30 minutes: 14,980,000

Which type of graph would be best to use to display the growth of the colony?
A.) a bar graph
B.) a circle graph
C.) a histogram
D.) a line graph

Answers

I think it’s D sorry if it’s wrong

If 3x – 2 (2 + 1) = 4, then 5x =?

Answers

Answer:

50/3

Step-by-step explanation:

For x

3x-2(2+1)=4

3x-2(3)=4

3x-6=4

3x=4+6

3x=10

x=10/3

 as we have to find 5x=?

    5(10/3)

50/3

Please help!!:(( I’ll give the best answer the brainliest :)
(and of y’all can please stop with the links it’s not working)

The quadrilateral SMUG on the coordinate plane has the following characteristics.

SM can be represented by the equation x+4y = 7 where 3 <_ x< _ 7

UG can be represented by the equation why equals 1/4x - 5/2 where 2<_x <_ 6

Part A: graph the figure represented by the information given above

Answers

Answer:

Step-by-step explanation:

If a nintendo costs $225 and teh sales tax is 4.75%, how much will it cost in total to get the nintendo?

Answers

Answer:

$235.69

Step-by-step explanation:

Add 10.6875 to 225

Answer:

$235.69

Step-by-step explanation:

BRAINIEST TO WHOEVER RIGHT “ identify the box and whisker plot that represents the data.” “Cat lengths (in inches) : 16, 18, 20, 25, 17, 22, 23, 21”

Answers

The second box/whisker plot is correct.

First we have to put he data set in ascending order:

16, 17, 18, 20, 21, 22, 23, 25

The median (middle number or average of 2 middle numbers) = 20.5 The center line of the box needs to be at 20.5

The middle of the first half of the data is 17.5, (average of 17 & 18) so the left side of the box needs to be at 17.5

The middle of the second half of the data is 22.5, (average of 22 & 23), so the right side of the box needs to be at 22.5.

The “whiskers” are your bottom & top numbers...representing the full range of data. They should be at 16 & 25.

According to the line plot what is the total amount of time spent studying by all students who studied 1/4 hour or 3/4 hour​

Answers

Answer:

2  3/4 hours

Step-by-step explanation:

We see from the figure that 2 students spent 1/4 hours and 3 students spent 3/4 hours.

So the total time spent is

2* (1/4) + 3(3/4) hours

= 1/2 + 9/4

=(2+9)/4  taking l.c.m

= 11/4

= 2 3/4 hours

The total time spent by 5 students on 1/4 hours and 3/4 hours is 2 and 3/4 hours.

If it takes 4 jugs to water 15 plants, how many plants can you water with 12
jugs?

Answers

Answer:

31.2

Step-by-step explanation:

Divide 4/15= 2.66

12x2.6= 31.2

This might be wrong..

7.8x = 32.76


Show your work

Answers

Answer:

x=4.2

Step-by-step explanation:

7.8x  =   32.76

/7.8          /7.8

x=4.2

i need help pls respond

Answers

Answer:

The second one

Step-by-step explanation:

This is because it is asking for a budget meaning that you have to spend less or equal to 200

Answer: m ≤ 200

Step-by-step explanation:

You can't spend MORE THAN 200 dollars in cash$200 must be the most you can spend$200 will always be more than m or m will always be less than $200

what is the answer pls help 5' 2" − 2' 3" =

Answers

Answer:

2' 11'

Step-by-step explanation:

Answer:

1.83333333333

Step-by-step explanation:

i dunno if these were supposed to be fractions

Plz answer for goodluck

Answers

Answer:

It says that most of the data is greater than the mean

Step-by-step explanation:

Answer:

A large mad means many of the points deviate far from the average

Step-by-step explanation:

HELP NEEDED 20 POINTS AND BRAINLIST!!!! Please explain your answer and no links! please!

Answers

Answer:

From (0,0) and go down 1 and put a dot then down 4 and over to the right 1 and draw a line.

Step-by-step explanation:

Hope this helps have a nice day!

I need help on this, please help​

Answers

Answer:i tihnk football is .45 and tennis is .18?

Step-by-step explanation:

i dont know if this is right but im pretty sure it is

Which of the following is a square root of 3(cos(4pi/9)+i sin(4pi/9))

Answers

Answer:

— 4√16(cos(4π3)+isin(4π3))=2(cos(−π6)+isin(−π6))=√3−i. Explanation: De Moivre's formula tells us that: (cosθ+isinθ)n=cosnθ+isinnθ.

Step-by-step explanation:

Answer:

its not b or a

Step-by-step explanation:

Which equation could be used to solve the question below?

Scott collected p pins at the parade. He collected 16 pins at the fair and 13 pins at camp. Now, he has 62 pins. How many pins did Scott collect at the parade?
A.
p - 16 + 13 = 62
B.
p + 16 + 13 = 62
C.
p - 16 - 13 = 62
D.
p + 16 - 13 = 62

Answers

Answer:

B

Step-by-step explanation:

62 pins in total = 16 pins at the fair + 13 pins at camp + x pins collected in the parade

A ______ is a comparison of two quantities. ratios can be a part-to-part,part-to- _______, or whole -to- __________ comparisons. ratios can be written with the word _____, with a _______, or as a ___________.​

Answers

Answer:

ratio

part-to-whole

whole-to-whole

with the word to

with a colon

or as a fraction

Step-by-step explanation:

Express the area of the entire rectangle.
Your answer should be a polynomial in standard form.

Answers

Answer:

Area= height x width = (x + 6) (x+ 2) = x^2 + 2x + 6x + 12= x^2 + 8x + 12

A 1.5m tall boy casts a 3m shadow. Calculate the height of a tree that simultaneously casts an 8m shadow.

Answers

If 1.5m boy makes a 3m that means it doubled. A 8m tree can probably be 16m

Factor each expression completely.
5x^2 + 10x

SHOW YOUR WORK!!!

Answers

5x^2+10x

factorise 5 and 10 first
then factorise the x

so 5x(x+2)
completed :))

hope this helped :)

I need help with this problem

Answers

Answer:

24

Step-by-step explanation:

5^2-3^2=?

25-9=16

sqrt 16 = 4

6×4=24

Help me out with this math please

Answers

Answer:

I believe it is C.

Answer:

B

Step-by-step explanation:

because I put it on the calculator and got 0.0195, and they give us 1.95, we have to move the decimal two times in front, that is -2. So the answer is B.  

Teresa received $80 for her birthday. At what rate would she have to invest to have $90 at the end of the year

Answers

Saving I don’t know but please let me know :)

Which statement is true about the lines 3−2=27 3 y - 2 x = 27 and 4−2=36 4 y - 2 x = 36 ?

Answers

The two lines 3 y - 2 x = 27 and 4 y - 2 x = 36 are parallel to each other because their slopes (i.e., -2/3 and -2/4) are equal.

What are parallel lines?

Parallel lines are lines in a plane that do not intersect and are always the same distance apart. They have the same slope and will never meet, regardless of how far they are extended.

Therefore, the correct answer is as given above. It can be concluded that lines 3 y - 2 x = 27 and 4 y - 2 x = 36 are parallel lines to each other for their slopes (i.e., -2/3 and -2/4) are the same.

learn more about parallel lines: https://brainly.com/question/24607467

#SPJ1

The complete question goes thus:

Which statement is true about the lines 3−2=27 3 y - 2 x = 27 and 4−2=36 4 y - 2 x = 36 ?

A. lines 3 y - 2 x = 27 and 4 y - 2 x = 36 are parallel to each other

B. lines 3 y - 2 x = 27 and 4−2=36 are inequalities

C. lines 3−2=27 and 3 y - 2 x = 27 are the same

D. all lines are equal

HELP I MARK BRAIN THING

Answers

The answer is 27. Please mark brainliest! Thank you!

If the perimeter of a triangle is 31 ft and two of the side lengths are 15 ft and 10 ft, what is the length of the third side?

A.16ft
B.25ft
C.6ft
D.56ft

Answers

Answer:

C) 6 ft

Step-by-step explanation:

Perimeter is just adding the side lengths together so...

31-15-10=x

6=x

so your answer is 6ft

c) 6ft is the answer

A swimming pool manager is making a schedule for his lifeguards next Monday. The pool policy states that there must be 2 lifeguards on duty for a pool attendance of up to 20, 3 lifeguards on duty for an attendance of 21-50, 4 lifeguards on duty for an attendance of 51-75, and 5 lifeguards on duty for an attendance of 76-100. Based on last Monday's pool attendance shown in the graph, how many lifeguards should be scheduled at 2:00?

A. 4 lifeguards
B. 5 lifeguards
C. 3 lifeguards
D. 2 lifeguards

Answers

Answer: A.4

Step-by-step explanation:

A bag contains 8 red pens, 7 blue pens, and 14 black pens. Denato wants to pull a blue pen from the bag. What is the sample space for this experiment?

Answers

Answer:

The sample space is 29........

Guys pls help me!!!!!!

Answers

Answer:

This would be graph A

Step-by-step explanation:

x = 2  means that it is a vertical ( up and down) line

It is a x=2

This would be graph A

Mhanifa Plz help me with this thank you!

Answers

Answer:

D

Step-by-step explanation:

This is an example of the Pythagorean theorem.

In triangle BEH, the sum of the squares of the sides of the two smaller sides, BE and BH is equal to the longest side squared, EH.

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