Understanding Angle of Elevation

The video tutorial introduces a word problem involving the calculation of the angle of elevation of the sun using a 200-foot tower and its 70-foot shadow. The instructor explains the concept of angle of elevation and sets up the problem by describing the tower and shadow. Using right triangle trigonometry, the instructor calculates the angle of elevation by finding the inverse tangent of the ratio of the tower's height to the shadow's length, resulting in an angle of 70.71 degrees.

What is the main focus of the word problem introduced in the video?

• Finding the angle of elevation of the sun

• Calculating the height of a building

• Determining the length of a shadow

• Measuring the distance to the sun

What does the angle of elevation refer to?

• The angle between the sun and the tower

• The angle below the horizontal line

• The angle above the horizontal line

• The angle at the base of the tower

In the problem setup, what is the height of the tower?

• 100 feet

• 150 feet

• 200 feet

• 250 feet

What is the length of the shadow in the problem?

• 70 feet

• 80 feet

• 60 feet

• 50 feet

Which trigonometric function is used to find the angle of elevation?

• Sine

• Cosine

• Tangent

• Cotangent

How is the tangent of the angle theta expressed in this problem?

• 70 divided by 200

• 200 divided by 70

• 200 multiplied by 70

• 70 multiplied by 200

What mathematical operation is used to find the angle theta?

• Inverse sine

• Inverse cotangent

• Inverse cosine

• Inverse tangent

What is the calculated angle of elevation of the sun?

• 60.71 degrees

• 75.71 degrees

• 65.71 degrees

• 70.71 degrees

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

• To simplify the calculation

• To avoid errors in angle measurement

• To ensure the calculator functions properly

• To convert radians to degrees

What is the final step in solving the word problem?

• Verifying the shadow length

• Recalculating the tower height

• Concluding with the angle of elevation

• Checking the sun's position