Question

A tree casts a shadow 31 feet long when the angle of

elevation of the sun is 58º. Find the height of the tree.

Answer 1

x=24.2198542

ROUND IF NEEDED

Explanation:

We are trying to find the height of the tree or the vertical side

We are given

• The angle of elevation or the angle at the ground ,38
• The horizontal length, 31.

Since we have a side that is adjacent to that angle and we are trying find backside that us opposite of that angle

we are going to use tangent

`\tan(x) = (opp)/(adj)`

plug 38 in for x or theta, x for opp side and 31 for adjacent side

`\tan(38) = (x)/(31)`

Multiply 31 by both sides to find x

x=24.2198542

ROUND IF NEEDED.