Question

The angle of elevation to a nearby tree from a point on the ground is measured to be

39º. How tall is the tree if the point on the ground is 82 feet from the tree? Round
your answer to the nearest tenth of a foot if necessary.

Answer 1

h ≈ 66.4 ft

Explanation:

The situation can be modelled by a right triangle with h representing the height of the tree.

Using the tangent ratio in the right triangle

tan39° =
`(opposite)/(adjacent)` =
`(h)/(82)` ( multiply both sides by 82 )

82 × tan39° = h , then

h ≈ 66.4 ft ( to the nearest tenth )