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Lesson Example Discussion Quiz: Class Homework

Quiz In Class

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: in Class

Problem Id	Problem	Options
1	In the figure above, sin a = x. What is the value of cos b? $1$	A) \$ 1/"x"\$ B) \$"x"\$ C) \$ \| 1 - "x" \| \$ D) \$ (90 - "x")/90 \$
2	Martin wants to know how tall a certain flagpole is.Martin walks 10 meters from the flagpole, lies on the ground, and measures an angle of \$70^\circ \$ from the ground to the base of the ball at the top of the flagpole. Approximately how tall, im meters, is the flagpole from the ground to the base of the ball at the top of the flagpole? $2$	A) 3 meters B) 27 meters C) 9 meters D) 29 meters
3	In the figure above, triangle ABC is similar to triangle XYZ. What is the value of cos(A)? $3$	A) \$1/2\$ B) 2 C) \$ \sqrt3 \$ D) \$ \sqrt3/2\$
4	Triangle FGH is similar to triangle JKL, where angle F corresponds to angle J, and angles G and K are right angles. if \$\sin(F) = 308/317\$, what is the value of \$\sin(J)\$?	A) \$ 75/317\$ B) \$ 317/308 \$ C) \$ 317/75 \$ D) \$ 308/317\$
5	A ladder is leaning against a wall. The ladder is 12 meters long and makes an angle of \$60^\circ \$ with the ground. How far is the base of the ladder from the wall?	A) 16 meters B) 8 meters C) 6 meters D) 10 meters
6	A forester wants to estimate the height of a giant tree from a distance of 150 feet. The angle of elevation from the forester’s position to the top of the tree is 52°. Determine the height of the tree.	A) 190.98 feet B) 119.89 feet C) 191.98 feet D) 118.98 feet
7	Find the ∠B by using the following image. $7$	A) \$49/41\$ B) \$41/49\$ C) \$40/49\$ D) \$41/47\$
8	A flagpole casts a shadow that is 25 meters long when the angle of elevation of the sun is 30°. What is the height of the flagpole?	A) 14.43 m B) 13.45 m C) 15.43 m D) 16.43 m
9	In the right triangle RST, the sum of the measures of angle R and angle S is 90 degrees. The value of \$\sin(R)\$ is \$sqrt15/4\$ . What is the value of \$cos(S)\$?	A) \$sqrt15/15\$ B) \$sqrt15/4\$ C) \$4sqrt15/15\$ D) \$sqrt15\$
10	In a right triangle ABC, angle A is 30 and the length of side AC is 10 cm. Find the lengths of side BC and AB.	A) BC = 8.66 cm and AB = 5 cm B) BC = 5cm and AB = 8.66 cm C) BC = 5.5 cm and AB = 8.66 cm D) BC = 5.5 cm and AB = 6.88 cm

Problem Id

Problem

Options

In the figure above, sin a = x. What is the value of cos b?

$1$

A) \$ 1/"x"\$

B) \$"x"\$

C) \$ | 1 - "x" | \$

D) \$ (90 - "x")/90 \$

Martin wants to know how tall a certain flagpole is.Martin walks 10 meters from the flagpole, lies on the ground, and measures an angle of \$70^\circ \$ from the ground to the base of the ball at the top of the flagpole. Approximately how tall, im meters, is the flagpole from the ground to the base of the ball at the top of the flagpole?

$2$

A) 3 meters

B) 27 meters

C) 9 meters

D) 29 meters

In the figure above, triangle ABC is similar to triangle XYZ. What is the value of cos(A)?

$3$

A) \$1/2\$

B) 2

C) \$ \sqrt3 \$

D) \$ \sqrt3/2\$

Triangle FGH is similar to triangle JKL, where angle F corresponds to angle J, and angles G and K are right angles. if \$\sin(F) = 308/317\$, what is the value of \$\sin(J)\$?

A) \$ 75/317\$

B) \$ 317/308 \$

C) \$ 317/75 \$

D) \$ 308/317\$

A ladder is leaning against a wall. The ladder is 12 meters long and makes an angle of \$60^\circ \$ with the ground. How far is the base of the ladder from the wall?

A) 16 meters

B) 8 meters

C) 6 meters

D) 10 meters

A forester wants to estimate the height of a giant tree from a distance of 150 feet. The angle of elevation from the forester’s position to the top of the tree is 52°. Determine the height of the tree.

A) 190.98 feet

B) 119.89 feet

C) 191.98 feet

D) 118.98 feet

Find the ∠B by using the following image.

$7$

A) \$49/41\$

B) \$41/49\$

C) \$40/49\$

D) \$41/47\$

A flagpole casts a shadow that is 25 meters long when the angle of elevation of the sun is 30°. What is the height of the flagpole?

A) 14.43 m

B) 13.45 m

C) 15.43 m

D) 16.43 m

In the right triangle RST, the sum of the measures of angle R and angle S is 90 degrees. The value of \$\sin(R)\$ is \$sqrt15/4\$ . What is the value of \$cos(S)\$?

A) \$sqrt15/15\$

B) \$sqrt15/4\$

C) \$4sqrt15/15\$

D) \$sqrt15\$

In a right triangle ABC, angle A is 30 and the length of side AC is 10 cm. Find the lengths of side BC and AB.

A) BC = 8.66 cm and AB = 5 cm

B) BC = 5cm and AB = 8.66 cm

C) BC = 5.5 cm and AB = 8.66 cm

D) BC = 5.5 cm and AB = 6.88 cm