Topics
8. Right Triangles & Trigonometry
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United States of AmericaFL
Grade 912

8.03 Trigonometric ratios

Lesson
Practice
Adaptive
Worksheet

Interactive practice questions

Consider the triangle below:

A right triangle named $ABC$ABC is shown with a right angle at vertex $C$C and an interior angle labeled as θ indicated at vertex $B$B. The triangle has each side labeled with its length. Side $AB$AB (the hypotenuse) measures $25$25 units. Side $AC$AC, the side opposite to angle θ measures $24$24 units. And side $BC$BC, the side adjacent to angle θ  measures $7$7 units.

Select the ratio that represents $\tan\theta$tanθ.

$\frac{25}{7}$257​

A

$\frac{24}{7}$247​

B

$\frac{7}{24}$724​

C

$\frac{24}{25}$2425​

D
Easy
< 1min

Consider the triangle below:

Easy
< 1min

Using the triangle provided:

Easy
1min

Write down the ratio of the sides represented by $\sin\theta$sinθ.

Easy
1min
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Outcomes

MA.912.GR.1.6

Solve mathematical and real-world problems involving congruence or similarity in two-dimensional figures.

MA.912.T.1.1

Define trigonometric ratios for acute angles in right triangles.

MA.912.T.1.2

Solve mathematical and real-world problems involving right triangles using trigonometric ratios and the Pythagorean Theorem.

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