Master solving word problems using inverse trigonometry

Master solving word problems using inverse trigonometry

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to solve word problems using inverse trigonometry. It covers the basic trigonometric functions and their inverses, focusing on finding angles in right triangles. Three examples are provided: a ladder leaning against a wall, calculating the angle of elevation to a building, and determining the angle of elevation of a wire attached to a tower. Each example demonstrates the use of inverse trigonometric functions—cosine, tangent, and sine—to solve for unknown angles.

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7 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What steps should you follow to solve a word problem using inverse trigonometry?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

In the example with the ladder, how do you determine which trigonometric function to use?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you calculate the angle Theta when given the lengths of the sides of a right triangle?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the significance of ensuring your calculator is in degree mode when solving trigonometric problems?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

In the building example, how do you find the angle of elevation to the top of the building?

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6.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the process for using inverse tangent to solve for an angle in a right triangle?

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7.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain how to use the sine function to find the angle of elevation in the wire and tower problem.

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