Trigonometry Quiz

In the right triangle ABC, if the legs are 5 and 12 units, and the hypotenuse is 13 units, what is the value of cos A?

• A. 12/13

• B. 5/13

• C. 13/5

• D. 5/12

In the right triangle ABC, where angle B is a right angle and sides AB, BC, and CA are 8, 15, and 17 units respectively, what trigonometric ratio represents sin A?

• A. 8/17

• B. 15/17

• C. 17/15

• D. 8/15

In right triangle ABC, if AC = 12, BC = 16, and AB = 20, which of the following trigonometric equations is not correct?

• cos A = 12/20

• tan A = 12/16

• sin B = 12/20

• tan B = 16/12

In the diagram of triangle CDE, if angle D is 90 degrees, angle C is 28 degrees, and the length of ED is 15, which equation can be used to find CD?

• sin 28° = CD/15

• sin 28° = 15/CD

• tan 28° = 15/CD

• tan 28° = CD/15

In the diagram of triangle ABC, if angle C is 90 degrees, angle A is 42 degrees, and the length of CA is 10, which equation can be used to find AB?

• tan 42° = 10/AB

• tan 42° = AB/10

• cos 42° = AB/10

• cos 42° = 10/AB

In the accompanying diagram, m∠A = 32° and AC = 10. Which equation could be used to find x in △ABC?

• x = 10 sin 32°

• x = 10 cos 32°

• x = 10 tan 32°

• x = 10/cos 32°

In the right triangle RUN, if the angle at U is 90 degrees and the angle at N is 37 degrees, and the length of RN is 21 units, what is the length of RU to the nearest tenth?

• A. 12.6

• B. 15.8

• C. 16.8

• D. 34.9

In the right triangle BCD, if BD is 12 units, angle C is 90 degrees, and angle DBC is 47 degrees, what is the length of DC to the nearest tenth?

• A. 8.0

• B. 9.2

• C. 10.5

• D. 11.3

What is the measure of angle J in the right triangle JKL shown below?

• 34°

• 42°

• 48°

• 56°

In right triangle ABC, if AB = 20, AC = 12, and BC = 16, what is the measure of angle A to the nearest degree?

• 30 degrees

• 36 degrees

• 45 degrees

• 53 degrees