Question

To calculate the height of a tree, Ryan measures the
angle of elevation from a rock on the ground to be 34°
He measures his distance from the rock on the ground
to the base of the tree to be 8 meters. How high is the
tree to the nearest tenth of a meter?

Answer 1

The height of the tree is 5.4 m

Step-by-step explanation:

Let the height of the tree be 'h'

Angle of elevation= 34°

distance from the rock on the ground

to the base of the tree = 8 m

we can use the tan function of trigonometry to find the height of the tree,

tan 34° = h/8

tan 34° = 0.67

tan 34° = h/8

0.67 = h/8

h = 8 x 0.67

h = 5.4m

The height of the tree is 5.4 m