Question

A surveyor measuring the tallest tree in a park is 100ft from the tree. His angle-measuring device is 5 ft above the ground. The angle of elevation to the top of the tree is 48°. How tall is the tree?

Answer 1

Note that we can form a right triangle here, with base equal to 100 ft and angle between hypotenuse and base equal to 48°.
Let h = height of triangle, which is also equal to total height of statue minus the 5 ft elevation of the device. Thus,
tan 48° = h / 100
h = 100 * tan 48°
h = 111.1 ft

Therefore the height of tree is equal to h + 5 = 116.1 ft.

Hope this helps~ :3