Question

11) A building casts a shadow of 100 feet. The angle of elevation from the end of the shadow to the top of the

building is 15 degrees. Approximately how tall is the building to the nearest whole number?

Answer 1

≈ 27 ft

Explanation:

using the tangent ratio in the right triangle formed by the building and the ground.

tan15° =
`(opposite)/(adjacent)` =
`(?)/(100)` ( multiply both sides by 100 )

100 × tan15° = ? , then

? ≈ 27 ft ( to the nearest whole number )