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Lesson Example Discussion Quiz: Class Homework

Quiz At Home

Title: Trigonometry ratios in right triangles

Grade: 1300-a Lesson: S3-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

Problem Id	Problem	Options
1	The longest side of the right triangle ABC is opposite angle B. If \$"sin"("A") = 9/41 \$, what is the value of \$"sin"("C")\$?	A) \$ 23/41 \$ B) \$ 40/41 \$ 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) \$ 33/65 \$ C) \$ 56/65 \$ D) \$ 33/56 \$
3	What is the value of tan(Z)? $3$	A) \$ (8sqrt115)/115 \$ B) \$ 8/7 \$ C) \$ (7sqrt115)/115 \$ D) \$ 7/8 \$
4	In triangle ABC, where angle A is a right angle, \$"sin"("C")\$ is \$ 13/85 \$. What is the value of tan(B)?	A) \$ 84/19 \$ B) \$ 13/84 \$ C) \$ 19/84 \$ D) \$ 84/13 \$
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) \$ 1/4 \$ D) \$ 6/5 \$
6	In the figure shown, what is the value of cos x? $6$	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	If the area of the triangle shown is 240 square inches, what is tan \$\beta\$? $8$	A) 2.4 B) 3.6 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) 1.052 C) 1.452 D) 2.152
10	The two sides of the triangle x and y are \$\sqrt2\$ times shorter than the hypotenuse. Find the value of sin a? $10$	A) \$(\sqrt4)/4\$ B) \$(\sqrt2)/2\$ C) \$(\sqrt2)/4\$ D) \$2(\sqrt2)/2\$

Problem Id

Problem

Options

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

A) \$ 23/41 \$

B) \$ 40/41 \$

C) \$ 41/23 \$

D) \$ 41/40 \$

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) \$ 33/65 \$

C) \$ 56/65 \$

D) \$ 33/56 \$

What is the value of tan(Z)?

$3$

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

B) \$ 8/7 \$

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

D) \$ 7/8 \$

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

A) \$ 84/19 \$

B) \$ 13/84 \$

C) \$ 19/84 \$

D) \$ 84/13 \$

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) \$ 1/4 \$

D) \$ 6/5 \$

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

$6$

A) 0.455

B) 0.544

C) 0.633

D) 0.85

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

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

$8$

A) 2.4

B) 3.6

C) 4.7

D) 5.9

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) 1.052

C) 1.452

D) 2.152

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

$10$

A) \$(\sqrt4)/4\$

B) \$(\sqrt2)/2\$

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

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