Question

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

Answer 1

Answer:

x=24.2198542

ROUND IF NEEDED

Step-by-step 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

$\tan(x) = \frac{opp}{adj}$

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

$\tan(38) = \frac{x}{31}$

Multiply 31 by both sides to find x

x=24.2198542

ROUND IF NEEDED.