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Section 1: Trigonometry

Find tan A and tan B. Write each answer as a fraction and as a decimal

rounded to the nearest hundredth.

tan A = 7/24 = 0.29

tan B = 24/7 = 3.43

tan A = 5/12 = 0.42

tan B = 12/5 = 2.40

tan A = 27/36 = 0.75

tan B = 36/27 = 1.33

Find the value of x. Round your answer to the nearest tenth.

cos 720 = 4/x

tan 340 = x/16

sin 660 = x/16

x = 4/cos 720 = 12.9

x = 16 tan 340 = 10.8

x = 16 sin 660 = 14.6

Use the diagram. Write your answer as a fraction and as a decimal rounded to

the nearest hundredth.

sin A

8/17 = 0.47

cos A

15/17 = 0.88

sin B

15/17 = 0.88

cos B

8/17 = 0.47

A wheelchair ramp is 4.2 meters long. It rises up 0.7 meter. What is the angle of

elevation to the nearest tenth of a degree?

sin x = 0.7/4.2 = 0.167. The angle of elevation: x = sin-1 0.167 = 9.60

You go to the park on a windy day to fly a kite. You have released 40 feet of

string. The string makes an angle of 36° with the ground. How high is the kite in

the air?

Height: h = 40 ft sin 360 = 23.5 ft.

A 22-foot ladder is resting against the side of a building. The bottom of the

ladder is 3 feet from the building. Find the measure of the angle the ladder

makes with the ground. Round your answer to the nearest tenth of a degree.

cos y = 3/22 = 0.136. The angle of the ladder: y = cos-1 0.136 = 82.20

Find tan A and tan B. Write each answer as a

fraction and as a decimal rounded to the nearest

tenth.

tan A

tan B

12/20 = 0.6

20/12 = 1.7

Find the measure of each angle to the nearest

degree.

m∠A

m∠B

31

59

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