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 the angle of elevation and the length of its shadow. The problem is set up by creating a right triangle, defining variables, and using the tangent trigonometric ratio. The solution involves calculating the height by multiplying the shadow length by the tangent of the angle, ensuring the calculator is in degree mode. The final height is rounded to the nearest foot.

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

• 30 degrees

• 40 degrees

• 50 degrees

• 60 degrees

What is the length of the shadow of the tree?

• 25 feet

• 30 feet

• 35 feet

• 40 feet

Which trigonometric ratio is used to find the height of the tree?

• Tangent

• Cosine

• Sine

• Cotangent

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

• A

• B

• T

• H

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

• 30 feet

• 27 feet

• 29 feet

• 28 feet