To find the height of a tree, scientist Sally moves 160 feet away from the base of the tree and then, with a tool 6 feet tall, measures the angle of elevation to the top of the tree to be 62°. To the nearest foot, what is the height of the tree?(1 point)

Question

Responses

147 feet
147 feet

301 feet
301 feet

307 feet
307 feet

141 feet

Answer 1

To find the height of the tree, we can use trigonometry.
Let x be the height of the tree.
From the given information, we have the following right triangle:

/|
/ |
x / |
/ |
/ |
/ |
----- ------
160 6

tan(62°) = x/160
x = 160 * tan(62°)
x ≈ 306.6

To the nearest foot, the height of the tree is 307 feet. Therefore, the correct answer is 307 feet.