Question

Find the height of the skyscraper in feet, correct to two decimal places.

Answer 1

264.49

Explanation:

Look at the picture.

We must use the tangent.

`tangent=(opposite)/(adjacent)`

We have:

`opposite=h\\adjacent=1,500\ ft\\\\\tan10^o\approx0.1763`

Substitute:

`(h)/(1,500\ ft)=0.1763` multiply both sides by 1,500 ft

`h=264.45\ ft\to h\approx264.49\ ft`