Question

A 14-foot tree casts an 18-foot shadow. What is the angle of elevation from the tip of the shadow to the top of the tree?

Answer 1

The angle of elevation from the tip of the shadow to the top of the tree is `37.88^@`.

Explanation:

Let, `theta` be the angle of elevation from the tip of the shadow to the top of the tree.

`:.`The perpendicular is 14 foot., and base is 18 foot.

`:.` `tantheta=(perp)/(base)=14/18=0.778`

`:. theta=tan^(-1) (0.778)=37.88^@`. (answer).

Here's details bout it: Heights & Distances.