Tamara wants to calculate the height of a tree outside her home. Using her clinometer, she measures the angle from 35 feet away
from the base of the tree and gets an angle of 62°. Tamara's eye level is 5.5 feet above the ground. How tall is the tree?
1 answer:
Answer:
71.32 feet
Step-by-step explanation:
We set up a trigonometric function to get height of tree
Distance ,x = 35 feet away from tree base
Angle = 62⁰ at eye level
Y = tan(angle) * x
= Y = tan(62⁰) x 35
Y = 1.881 x 35
Y = 65.82 feet
We add Tamara's height to the total height of the tree
= 65.82feet + 5.5 feet
= 71.32 feet is the height of the tree
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