Find the height of the building | Trigonometric Word Problem

The video tutorial explains how to find the height of a building using the angle of elevation and horizontal distance. It starts by introducing the problem, explaining the concept of horizontal distance, and setting up a trigonometric equation. The tutorial then demonstrates solving the equation to find the building's height, emphasizing the importance of using correct units in the final calculation.

What is the angle of elevation used in the problem to find the height of the building?

• 45 degrees

• 60 degrees

• 90 degrees

• 78 degrees

In the context of this problem, what does the 100 meters represent?

• The height of the building

• The diagonal distance to the top of the building

• The vertical distance to the top of the building

• The horizontal distance from the observer to the building

Which trigonometric function is used to find the height of the building?

• Cotangent

• Tangent

• Cosine

• Sine

What is the formula used to calculate the height of the building?

• H = 100 * sin(78 degrees)

• H = 100 / tan(78 degrees)

• H = 100 / cos(78 degrees)

• H = 100 * tan(78 degrees)

Why is it important to ensure the calculator is set to degree mode?

• To simplify the calculation

• To avoid errors in multiplication

• To ensure the angle is measured in degrees

• To ensure the angle is measured in radians