Use trigonometry to solve word problem with angle of elevation

Use trigonometry to solve word problem with angle of elevation

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains a simple trigonometry problem involving an angle of elevation. It starts with setting up the problem, identifying the angle of elevation, and the distance between two points. The instructor then chooses the tangent function to solve for the height, emphasizing the importance of using correct units and calculator settings. The tutorial concludes with the final calculation and a brief recap.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the angle of elevation in the problem setup?

30 degrees

45 degrees

52 degrees

60 degrees

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which trigonometric function is used to solve the problem involving the angle of elevation?

Tangent

Cosine

Sine

Cotangent

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the formula used to calculate the height in this problem?

Height = 120 feet / cosine of 52 degrees

Height = 120 feet * tangent of 52 degrees

Height = 120 feet * sine of 52 degrees

Height = 120 feet / tangent of 52 degrees

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

To match the problem's distance units

To simplify the calculation

To ensure the angle is interpreted correctly

To avoid errors in unit conversion

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the calculated height to the nearest hundredth?

153.59 feet

150.00 feet

160.00 feet

145.00 feet