Question

The angle elevation to the top of a building is found to be 7° degrees from the ground at a distance of 4 miles from the base of the building. Find the height of the building. Give your answer to four decimal places.

Answer 1

I think this is how you set this problem up?

Answer 2

I agree.

Which right triangle trig function is the ratio of the opposite leg to the adjacent leg?

Answer 3

See attached.

Answer 4

tan

Answer 5

tan(7 degrees)=x/4

Answer 6

Yes.

Answer 7

soh cah toa (one way to pronounce it is "soak a toe-a", if you want to hear it sounded out, the person in the video https://www.youtube.com/watch?v=Ek13B8mCq1E does so at the very beginning of the video) is another memory device to help remember the ratios

http://cdn-3.ask-math.com/images/SOHCAHTOA.png

Answer 8

@jim_thompson5910 I will check those out

Answer 9

>>tan(7 degrees)=x/4

What next, @KJ4UTS

Answer 10

Multiply both sides by 4.
4*tan(7 deg)=x

Answer 11

4tan(7)=0.4911