How to use the cosine function to find the missing side of a triangle

How to use the cosine function to find the missing side of a triangle

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to identify the adjacent side in a right triangle when given the hypotenuse. It demonstrates using the cosine function to solve for the unknown side length, X, by setting up the equation cosine of 32 degrees equals X over 5. The tutorial guides students through solving the equation by multiplying both sides by 5 and using a calculator to find the approximate value of X, rounded to the third decimal place.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the relationship between the given side and the angle in this problem?

Opposite side

Adjacent side

None of the above

Hypotenuse

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which trigonometric function is used when you have the adjacent side and the hypotenuse?

Secant

Cosine

Tangent

Sine

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If the cosine of 32 degrees equals X/5, what is the value of X?

5 * sin(32 degrees)

5 * tan(32 degrees)

5 * cos(32 degrees)

5 / cos(32 degrees)

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What should you ensure about your calculator before performing the calculation?

It is in standard mode

It is in radians mode

It is in degrees mode

It is in scientific mode

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

To what decimal place should you round your answer in this class?

Second decimal place

Third decimal place

First decimal place

Fourth decimal place