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Lesson Example Discussion Quiz: Class Homework

Quiz In Class

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: in Class

Problem Id	Problem	Options
1	RS = 440 ST = 384 TR = 584 The side lengths of the right triangle RST are given. Triangle RST is similar to triangle UVW, where S corresponds to V and T corresponds to W. What is the value of tan W?	A) \$(48)/(3)\$ B) \$(55)/(48)\$ C) \$(55)/(73)\$ D) \$(48)/(55)\$
2	In the figure above, \$"tanB" = - 3/4\$. If BC = 15 and DA = 4, what is the length of \$\bar"DE"\$? $2$	A) 10 B) 6 C) 12 D) 8
3	Triangle ABC above is a right triangle, and sinB = \$5/13\$. What is the length of the side \$\bar("BC")\$? $3$	A) 26 B) 28 C) 20 D) 24
4	Triangle ABC is similar to triangle DEF, where angle A corresponds to angle D and angles C and F are right angles. The length of \$\bar("AB")\$ is 2.9 times the length of \$\bar("DE")\$. If \$"tan" "A" = (21)/(20)\$, what is the value of \$"sin"("D")\$?	A) \$ 50/7 \$ B) \$ 23/27 \$ C) \$ 17/8 \$ D) \$ 21/29 \$
5	Triangle ABC is similar to triangle DEF, where A corresponds to D and C corresponds to F. Angles C and F are right angles. If \$"tan"("A") = sqrt\3\$ and DF = 125, what is the length of \$\bar(DE)\$?	A) \$((125)sqrt3)/3\$ B) \$((125)sqrt3)/2\$ C) 250 D) \$(125)sqrt3\$
6	From the given figure, find the tan P - cot R. $6$	A) 1 B) 3 C) 0 D) 5
7	In triangle ABC, ∠C is a right angle, AB = 10 m, and BC = 24 m. Find the measure of ∠B, the length of AC?	A) AC = 26 m and ∠B = 67.36° B) AC = 62 m and ∠B = 67.36° C) AC = 26 m and ∠B = 76.36° D) AC = 62 m and ∠B = 76.36°
8	A 40-foot support wire on a TV dish satellite makes an angle of 60° with the ground. Calculate the vertical distance above the ground of the point where the wire touches the dish.	A) 34.6 ft B) 64.6 ft C) 36.4 ft D) 66.4 ft
9	In triangle ABC with C = 90°c = \$15\sqrt(2)\$, and a = 15, what is the measure of angle A?	A) 40° B) 45° C) 50° D) 54°
10	A kite is attached to a string that is 200 feet long. If the string makes an angle of 40° with the ground, how high is the kite?	A) 125.8 ft B) 128.4 ft C) 185.8 ft D) 182.4 ft

Problem Id

Problem

Options

RS = 440
ST = 384
TR = 584
The side lengths of the right triangle RST are given. Triangle RST is similar to triangle UVW, where S corresponds to V and T corresponds to W. What is the value of tan W?

A) \$(48)/(3)\$

B) \$(55)/(48)\$

C) \$(55)/(73)\$

D) \$(48)/(55)\$

In the figure above, \$"tanB" = - 3/4\$. If BC = 15 and DA = 4, what is the length of \$\bar"DE"\$?

$2$

A) 10

B) 6

C) 12

D) 8

Triangle ABC above is a right triangle, and sinB = \$5/13\$. What is the length of the side \$\bar("BC")\$?

$3$

A) 26

B) 28

C) 20

D) 24

Triangle ABC is similar to triangle DEF, where angle A corresponds to angle D and angles C and F are right angles. The length of \$\bar("AB")\$ is 2.9 times the length of \$\bar("DE")\$. If \$"tan" "A" = (21)/(20)\$, what is the value of \$"sin"("D")\$?

A) \$ 50/7 \$

B) \$ 23/27 \$

C) \$ 17/8 \$

D) \$ 21/29 \$

Triangle ABC is similar to triangle DEF, where A corresponds to D and C corresponds to F. Angles C and F are right angles. If \$"tan"("A") = sqrt\3\$ and DF = 125, what is the length of \$\bar(DE)\$?

A) \$((125)sqrt3)/3\$

B) \$((125)sqrt3)/2\$

C) 250

D) \$(125)sqrt3\$

From the given figure, find the tan P - cot R.

$6$

A) 1

B) 3

C) 0

D) 5

In triangle ABC, ∠C is a right angle, AB = 10 m, and BC = 24 m. Find the measure of ∠B, the length of AC?

A) AC = 26 m and ∠B = 67.36°

B) AC = 62 m and ∠B = 67.36°

C) AC = 26 m and ∠B = 76.36°

D) AC = 62 m and ∠B = 76.36°

A 40-foot support wire on a TV dish satellite makes an angle of 60° with the ground. Calculate the vertical distance above the ground of the point where the wire touches the dish.

A) 34.6 ft

B) 64.6 ft

C) 36.4 ft

D) 66.4 ft

In triangle ABC with C = 90°c = \$15\sqrt(2)\$, and a = 15, what is the measure of angle A?

A) 40°

B) 45°

C) 50°

D) 54°

A kite is attached to a string that is 200 feet long. If the string makes an angle of 40° with the ground, how high is the kite?

A) 125.8 ft

B) 128.4 ft

C) 185.8 ft

D) 182.4 ft