Finding the distance of an antenna using trigonometry of two triangles

The video tutorial explains how to determine the height of an antenna on a building using trigonometry. It starts by setting up the problem with given distances and angles of elevation. The instructor then demonstrates how to create two right triangles to solve the problem. By applying the tangent function, the instructor calculates the distances and ultimately finds the height of the antenna. The tutorial emphasizes the use of trigonometric functions and problem-solving techniques in geometry.

What is the distance from the building to the point where the angles of elevation are measured?

• 400 feet

• 500 feet

• 300 feet

• 200 feet

What are the angles of elevation to the base and top of the antenna?

• 20.5 and 25.5 degrees

• 30.5 and 35.5 degrees

• 28.6 and 33.5 degrees

• 26.6 and 31.5 degrees

What is the purpose of creating two right triangles in this problem?

• To find the distance between two buildings

• To calculate the height of the building

• To determine the height of the antenna

• To measure the width of the building

Which trigonometric function is used to calculate Y?

• Sine

• Cotangent

• Cosine

• Tangent

What is the approximate value of Y calculated using the tangent function?

• 150.23

• 183.84

• 200.45

• 175.67

What is the approximate value of X calculated using the tangent function?

• 200.45

• 175.67

• 183.84

• 150.23

What is the final height of the antenna in feet?

• 37.61

• 35.61

• 30.61

• 33.61