Question

When Adam sights the top of a 10-ft-high statue from 100 ft away, he finds an angle of elevation of 2.3°. When his friend Mark stands in the same location and sights the top of the same statue, he finds an angle of elevation of 2.6°. Assuming both boys measured correctly, which boy is taller? By how much?

Answer 1

Adam's height - Mark's height =

[10 - 100tan (2.3)] - [10 - 100tan(2.6) ] =

≈ [5.96ft - 5.46 ft] =

≈ .50 ft ..... and Adam is ≈ 6 inches taller

Explanation:

Adam's height - Mark's height =

[10 - 100tan (2.3)] - [10 - 100tan(2.6) ] =

≈ [5.96ft - 5.46 ft] =

≈ .50 ft ..... and Adam is ≈ 6 inches taller