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Lesson Example Discussion Quiz: Class Homework

Quiz At Home

Title: Trigonometry ratios in right triangles

Grade: 1400-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	In the above triangle, if side AB = 5, segment AD = 3, and tan ∠B = 2.4, what is the length of segment BE? $1$	A) 3 B) \$3(1/4)\$ C) \$3(3/4)\$ D) \$4(1/4)\$
2	In the figure, DE is parallel to BC, and sin ∠C = -0.6. Side AC = -16 and side BD = 3. What is the length of side AE? $2$	A) 8 B) 12 C) 16 D) 24
3	The triangle shown is a cross-section of a feeding trough. The triangular cross-section is 24 inches deep and 36 inches across the top. If cos x = B, what is the value of B? $3$	A) \$28/20\$ B) \$15/31\$ C) \$30/28\$ D) \$18/30\$
4	In a certain triangle, the measures of ∠A and ∠B are (6k - 8)° and (7k - 45)°, respectively. If \$("sin" ∠"A")/("cos" ∠"B") = 1\$, what is the value of k?	A) 28 B) 18 C) 6 D) 11
5	Triangle ABC is similar to triangle DEF, where angle A corresponds to angle D and angle C corresponds to angle F. Angles C and F are right angles. If tan(A) = \$50/7\$, what is the value of tan(E)?	A) 0.11 B) 0.12 C) 0.14 D) 0.18
6	Triangle KLM is similar to triangle QRS, where angle K corresponds to angle Q and where angles L and R are right angles. If \$ sin K = 105/233 \$ and \$ "sin" "M" = 208/233 \$.what is the value of tan S?	A) 1.99 B) 1.93 C) 1.98 D) 1.91
7	In triangle ABC, ∠B is a right angle. If \$ "sin"("A") = 7/5 \$ and AC = 13, find BC. $7$	A) 18.2 B) 19 C) 18.8 D) 19.2
8	Right triangles PQR and STU are similar, where P corresponds to S. If the measure of angle Q is 18°, what is the measure of angle S? $8$	A) 72° B) 18° C) 82° D) 162°
9	In triangle JKL, cos(K) = \$ 24/51 \$ and angle J is a right angle. What is the value of cos(L)?	A) \$ 13/17 \$ B) \$ 15/17 \$ C) \$ 17/15 \$ D) \$ 17/13 \$
10	Triangle ABC shown is a right triangle, and \$ "sin" "B" = 5/13 \$. What is the length of side BC? $10$	A) 28 B) 24 C) 32 D) 20

Problem Id

Problem

Options

In the above triangle, if side AB = 5, segment AD = 3, and tan ∠B = 2.4, what is the length of segment BE?

$1$

A) 3

B) \$3(1/4)\$

C) \$3(3/4)\$

D) \$4(1/4)\$

In the figure, DE is parallel to BC, and sin ∠C = -0.6. Side AC = -16 and side BD = 3. What is the length of side AE?

$2$

A) 8

B) 12

C) 16

D) 24

The triangle shown is a cross-section of a feeding trough. The triangular cross-section is 24 inches deep and 36 inches across the top. If cos x = B, what is the value of B?

$3$

A) \$28/20\$

B) \$15/31\$

C) \$30/28\$

D) \$18/30\$

In a certain triangle, the measures of ∠A and ∠B are (6k - 8)° and (7k - 45)°, respectively. If \$("sin" ∠"A")/("cos" ∠"B") = 1\$, what is the value of k?

A) 28

B) 18

C) 6

D) 11

Triangle ABC is similar to triangle DEF, where angle A corresponds to angle D and angle C corresponds to angle F. Angles C and F are right angles. If tan(A) = \$50/7\$, what is the value of tan(E)?

A) 0.11

B) 0.12

C) 0.14

D) 0.18

Triangle KLM is similar to triangle QRS, where angle K corresponds to angle Q and where angles L and R are right angles. If \$ sin K = 105/233 \$ and \$ "sin" "M" = 208/233 \$.what is the value of tan S?

A) 1.99

B) 1.93

C) 1.98

D) 1.91

In triangle ABC, ∠B is a right angle. If \$ "sin"("A") = 7/5 \$ and AC = 13, find BC.

$7$

A) 18.2

B) 19

C) 18.8

D) 19.2

Right triangles PQR and STU are similar, where P corresponds to S. If the measure of angle Q is 18°, what is the measure of angle S?

$8$

A) 72°

B) 18°

C) 82°

D) 162°

In triangle JKL, cos(K) = \$ 24/51 \$ and angle J is a right angle. What is the value of cos(L)?

A) \$ 13/17 \$

B) \$ 15/17 \$

C) \$ 17/15 \$

D) \$ 17/13 \$

Triangle ABC shown is a right triangle, and \$ "sin" "B" = 5/13 \$. What is the length of side BC?

$10$

A) 28

B) 24

C) 32

D) 20