Word Problems with trigonometry and triangles

Word Problems with trigonometry and triangles

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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Quizizz Content

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The video tutorial explains how to solve a word problem involving the angle of elevation of the sun. It begins by introducing the problem, which involves a 200-foot tower casting a 70-foot shadow. The concept of angle of elevation is explained, followed by setting up the problem using a right triangle. The solution involves using trigonometry, specifically the tangent function, to find the angle. The calculation is completed using the inverse tangent function, resulting in an angle of 7.71 degrees.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the height of the tower mentioned in the problem?

150 feet

250 feet

100 feet

200 feet

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the angle of elevation refer to?

The angle parallel to the horizontal line

The angle below the horizontal line

The angle above the horizontal line

The angle perpendicular to the horizontal line

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the length of the shadow in the problem?

80 feet

60 feet

70 feet

50 feet

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

Cotangent

Sine

Cosine

Tangent

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the calculated angle of elevation of the sun?

8.71 degrees

7.71 degrees

6.71 degrees

5.71 degrees