Question

Terrance wants to determine the height, x, of a nearby tree. He stands 29 feet from the base of the tree. The measure of the angle of elevation from Terrance to the top of the tree is 53°.​

Answer 1

The measure of the angle of elevation from Terrance to the top of the tree is 53° is x = 29tan53

What is angle of elevation ?

Particularly in trigonometry, the angle of elevation is an often utilized notion in relation to height and distance. It is described as the angle formed by the observer's eye to an item above his horizontal plane and oblique line. This angle eventually forms above the surface.

Let the Height of the tree = x

Distance from base of the tree = 29feet

Angle of elevation = 53degrees

From trigonometry

tan θ = opposite/adjacent

`tan 53 = (x)/(29)`

x = 29tan53

Answer 2

x = 29tan53

Explanation:

Given

Distance from base of the tree = 29feet

Angle of elevation = 53degrees

Required

Height of the tree = x

Using the SOH CAH TOA identity

tan theta = opposite/adjacent

tan 53 = x/29

x = 29tan53

Hence the required measure is x = 29tan53