Calculating Building Heights with Angles

The video tutorial explains how to calculate the height of a building using the angle of elevation and trigonometric ratios. It introduces the concept of angle of elevation and demonstrates the use of the tangent function to find the building's height. The tutorial also presents a problem involving two angles of elevation and derives a formula to solve it. Additional resources and community support are offered for further learning.

What is the angle of elevation measured by the man from the ground to the top of the building?

• 45 degrees

• 60 degrees

• 90 degrees

• 30 degrees

Which trigonometric ratio is used to calculate the height of the building in the first problem?

• Sine

• Cosine

• Tangent

• Cotangent

In the second problem, how far does Karen walk towards the building before measuring the new angle of elevation?

• 250 feet

• 200 feet

• 100 feet

• 150 feet

What is the new angle of elevation Karen measures after walking towards the building?

• 45 degrees

• 40 degrees

• 35 degrees

• 30 degrees

What is the formula for calculating the height of a building using two angles of elevation and the distance between them?

• H = D / (tan Alpha - tan Beta)

• H = D * tan Alpha * tan Beta / (tan Beta - tan Alpha)

• H = D * (tan Alpha + tan Beta)

• H = D * (tan Alpha - tan Beta)

What is the height of the building calculated in the second problem?

• 480.86 feet

• 330.86 feet

• 277.6 feet

• 144.3 feet

Which angle should be used first in the formula to avoid a negative result?

• Either angle

• The larger angle

• The smaller angle

• Both angles

What is the value of X1 calculated in the second problem?

• 277.6 feet

• 150 feet

• 330.86 feet

• 480.86 feet

What is the purpose of the formula derived in the video?

• To determine the base length of a triangle

• To measure the angle of elevation

• To find the height of a building using two angles and a distance

• To calculate the distance between two points

Where can viewers find more problems and resources related to trigonometry?

• In the video comments

• In the video description

• In a textbook

• On a separate website