Quiz At Home

Title: Trigonometry ratios in right triangles

Grade Lesson s5-l2

Explanation: Hello Students, time to practice and review. Let us take next 10-15 minutes to solve the ten problems using the Quiz Sheet. Then submit the quiz to get the score. This is a good exercise to check your understanding of the concepts.

Quiz: at Home

Id Name Note

1

The longest side of the right triangle ABC is opposite angle B. If \$ sin(A) = 9/41 \$, what is the value of sin©?

A) \$ 40/41 \$

B) \$ 23/41 \$

C) \$ 41/23 \$

D) \$ 41/40 \$

2

Right triangle ABC has sides of the following lenghts: AB = 165, BC = 280, and AC = 325. Another triangle, LMN, is similar to ABC such that A corresponds to L and B corresponds to M. What is the value of cos(L)?

A) \$ 65/33 \$

B) \$ 33/56 \$

C) \$ 56/65 \$

D) \$ 33/65 \$

3

3

What is the value of tan(Z)?

A) \$ (8\sqrt115)/115 \$

B) \$ 7/8 \$

C) \$ (7\sqrt115)/115 \$

D) \$ 8/7 \$

4

In triangle ABC, where angle A is a right angle, sin© is \$ 13/85 \$. What is the value of tan(B)?

A) \$ 84/19 \$

B) \$ 13/84 \$

C) \$ 84/13 \$

D) \$ 19/84 \$

5

The two sides of the triangle x and y are 4 times shorter than the hypotenuse. Find the value of cos a?

A) \$ 3/4 \$

B) \$ 2/3 \$

C) \$ 6/5 \$

D) \$ 1/4 \$

6

6

In the figure shown, what is the value of cos x?

A) 0.455

B) 0.544

C) 0.633

D) 0.85

7

Angle x is one of the acute angles in a right triangle. If the measure of angle x is 30 degrees, what is the value of \$(sin x)^2 + (cos x)^2\$?

A) 1

B) \$1/2\$

C) \$1/4\$

D) 2

8

8

If the area of the triangle shown is 240 square inches, what is tan \$\beta\$?

A) 3.6

B) 2.4

C) 4.7

D) 5.9

9

Triangle PQR has angles measuring 23° and 48°. Which of the following could be the measure of an angle in a triangle similar to PQR and find the cosecant of the angle?

A) 0.852

B) 1.452

C) 1.052

D) 2.152

10

10

The two sides of the triangle x and y are \$\sqrt2\$ times shorter than the hypotenuse. Find the value of sin a?

A) \$(\sqrt2)/2\$

B) \$(\sqrt4)/4\$

C) \$(\sqrt2)/4\$

D) \$(2(\sqrt2))/2\$

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