How to find the height of a tree given the angle of elevation

The video tutorial explains how to find the height of a tree using trigonometry. It begins by introducing the problem, which involves a tree casting a shadow with a known length and an angle of elevation to the sun. The instructor visualizes the scenario, sets up a right triangle, and defines the necessary variables. Using the tangent function, the instructor calculates the tree's height, ensuring the calculator is in degree mode. The solution is rounded to the nearest foot, and the importance of including units is emphasized.

What is the angle of elevation to the sun in the given problem?

• 40 degrees

• 50 degrees

• 30 degrees

• 60 degrees

What is the length of the shadow of the tree?

• 30 feet

• 25 feet

• 40 feet

• 35 feet

What variable is used to represent the height of the tree?

• T

• H

• X

• Y

Which trigonometric function is used to solve for the height of the tree?

• Tangent

• Sine

• Cotangent

• Cosine

What is the calculated height of the tree, rounded to the nearest foot?

• 31 feet

• 29 feet

• 27 feet

• 25 feet