Question

A 12 ft. flag pole is mounted on top of a school building.


If the top of the flagpole forms a 39° angle with the ground
50 ft. from the base of the building, about how tall is the school building?


A. 27 ft.

B. 28 ft.

C. 19 ft.

D. 40 ft.

Answer 1

Try drawing a picture of what this is describing...

You will use trig ratios to solve.

Answer 2

@sashley0915 i dont know the trig ratios in order to solve this do you think you can help me out on this one?

Answer 3

Look at the attached pic.

Answer 4

\[\sin(39)=\frac{x+12}{50}\]solve for x

Answer 5

Then use SOH-CAH-TOA.

sin(angle)=opposite/hypotenuse
cos(angle)=adjacent/hypotenuse
tan(angle)=opposite/hypotenuse.

You will have decide which one to use based on the given information.

Answer 6

@sashley0915 ugh man this is still not enough help for me based on your knowledge what do you think is the correct answer choice

Answer 7

@satellite73 you do not want to use sin here because you are given the opposite and adjacent sides, you want to use the tan function.

Answer 8

i want the tangent funtion and i clearly made a mistake

Answer 9

@inflatablesteez Are you still having trouble understanding what happened here? satelitte's equation was correct except instead of sin use the tan function.

Answer 10

should be
\[\tan(39)=\frac{x+12}{50}\]
\[50\tan (39)=x+12\]
\[x=50\tan(39)-12\] and then a calculator

Answer 11

@satellite73 so would the correct answer choice be B.28?

Answer 12

@Hero help me

Answer 13

@HyperChemist do you know the answer?

Answer 14

@inflatablesteez I agree with the answer you calculated. (B)

Answer 15

i typed the info in the calculator and it gave me 24 with decimals soo im going with 24 thank you to everyone who helped