Question

Jacob measures the height of a Sitka spruce tree, standing 45 feet from the base and measuring the angle of elevation as 59 degrees. What is the height of the tree?

A. 31.18 feet
B. 51.75 feet
C. 36.61 feet
D. 48.73 feet

Answer 1

To find the height of the Sitka spruce tree, you can use trigonometry. With the given angle of elevation and distance from the base, you can use the tangent function to calculate the height of the tree. The height of the tree is approximately 51.75 feet.

Step-by-step explanation:

To find the height of the tree, you can use trigonometry. The angle of elevation is 59 degrees, and the distance from the base is 45 feet. The height of the tree can be found using the tangent function:

Height of the tree = Distance from the base * tan(Angle of elevation)

Plugging in the values, the height of the tree is approximately 51.75 feet.