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) Responses 301 feet 301 feet 147 feet 147 feet 141 feet 141 feet 307 feet
To solve this problem, we can use the tangent function. The tangent of the angle of elevation is equal to the opposite side (the height of the tree) divided by the adjacent side (the distance Sally moved away from the tree).
tan(62°) = height of the tree / 160 ft
Rearranging the equation:
height of the tree = tan(62°) * 160 ft
Using a calculator, the height of the tree is approximately 307 ft.
Therefore, the correct answer is 307 feet.