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Trigonometric Ratios and Triangle Solutions

Trigonometric Ratios and Triangle Solutions

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Practice Problem

Hard

Created by

Thomas White

FREE Resource

This video tutorial explains how to use the primary trigonometric ratios—sine, cosine, and tangent—to find missing side lengths in right-angle triangles. It covers labeling triangles, using the SOHCAHTOA acronym, and provides examples for each ratio. The tutorial concludes with solving a triangle by finding all missing angles and sides.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are the primary trigonometric ratios used for right-angle triangles?

Sine, Secant, Cosecant

Sine, Cosine, Tangent

Tangent, Cotangent, Secant

Cosine, Cotangent, Secant

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which side of a right-angle triangle is always the longest?

Opposite

Adjacent

Base

Hypotenuse

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the sine ratio in a right-angle triangle?

Adjacent over Hypotenuse

Opposite over Adjacent

Hypotenuse over Opposite

Opposite over Hypotenuse

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you label the side opposite to angle A in a triangle?

Lowercase a

Uppercase A

Lowercase b

Uppercase B

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the example using the sine ratio, what is the value of side B?

6.4

8.0

5.1

7.2

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which trigonometric ratio involves adjacent and hypotenuse?

Cotangent

Cosine

Tangent

Sine

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the example using the cosine ratio, what is the value of X?

20.1

23.1

21.3

18.5

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