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Mystery Trig Inverse Trig

LawsCos & Sin

Trig WordProblems

Find the values for x and y

y7

x

45

7

7 2

x

y

y

x

4

30

4 38

xy

yx

60

2

Find the values for x and y.

2 33

4 33

x

y

Find the perimeter of an equilateral triangle whose

altitude is 9.

Perimeter is

18 3

Find the perimeter of a square that has a diagonal of 12.

Perimeter is 24 2

MK

L

25

24

7

Write the ratio for:sin M and cos L

sin M = 7/25cos L = 7/25

Find x and y, round answer to the nearest hundredth.

x

y12

43

x = 11.19y = 16.41

Find x and y, round answer to nearest hundredth.

xy

120

58

y = 63.59x = 101.77

Find x and y, round answer to the nearest hundredth.

yx

10

56 34

x = 6.75y = 8.08

Find w and x, round answer to nearest hundredth.

x

w

102102

42

w = 68.25x = 151.6

Find the measure of x. Round answer to nearest degree.

11

7

x

32x

Find the measure of x. Round to the nearest degree.

1222

x

33x

Find the measure of x. Round answer to nearest degree.

68

10

x

6 2

37x

Find measure of x. Round answer to nearest degree.

16

1212 x

42x

Find the measure of x and w. Round answers to nearest degree.

24

28

x x

w

65x

50w

Round to the nearest tenth

18

7163

y

x

x = 19.1y = 14.5

1812

38

y

x

Round to the nearest tenth

x = 67.4y = 18.8

78

80

40

y

x

Round to the nearest tenth

x = 54.1y = 72

9

527 y

x

Round to the nearest tenth

x =5.1y = 53.2

35

x4

y

Round to the nearest tenth

x = 36.9y = 53.1

A meteorologist measures the angle of elevation of a weather balloon as . A radio signal

from the balloon indicates that it is 1503 m from his location. To

the nearest meter, how high above the ground is the balloon.

41

986 m

The world’s tallest unsupported flag pole is 282 feet tall steel pole in British Columbia. The shortest shadow cast by the pole during the year is 137 feet long. To the nearest degree, what is the angle

of elevation of the sun when casting the flagpole’s shortest

shadow?

64

A tourist looks out from the crown of the Statue of Liberty,

approximately 250 ft above ground. The tourist sees a ship

coming into the harbor and measures the angle of depression as . Find the distance from the base of the statue to the ship to

the nearest foot.

18

769 ft

An blimp provides aerial television views of a football game. The television camera

sights the stadium at angle of depression. The altitude of the

blimp is 400 m. What is the line-of-sight distance from the

television camera to the base of the stadium? Round to the nearest hundred meters.

7

3300 m

For a plane to approach a runway in Oklahoma, the pilot must

begin a descent starting from a height of 2714 ft above sea level. The airport is 1007 ft

above sea level. To the nearest tenth of a mile, how far from the runway is the airplane at the start

of this approach?

3

6.2 mi