Mystery
Trig
Inverse
Trig
Laws
Trig Word
Cos & Sin Problems
100
100
100
100
100
200
200
200
200
200
300
300
300
300
300
400
400
400
400
400
500
500
500
500
500
Find the values for x and y
y
7
45
x
x7
y7 2
y
4
30
x
x4 3
y 8
Find the values for x and y.
60
y
2
x
2 3
x
3
4 3
y
3
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
Write the ratio for:
sin M and cos L
L
7
K
25
24
M
sin M = 7/25
cos L = 7/25
Find x and y, round answer to the
nearest hundredth.
43
y
12
x
x = 11.19
y = 16.41
Find x and y, round answer to
nearest hundredth.
x
y
58
120
y = 63.59
x = 101.77
Find x and y, round answer to the
nearest hundredth.
10
56
x
34
y
x = 6.75
y = 8.08
Find w and x, round answer to
nearest hundredth.
102
102
w
42
x
w = 68.25
x = 151.6
Find the measure of x. Round
answer to nearest degree.
x
11
7
x  32
Find the measure of x. Round to
the nearest degree.
22
12
x
x  33
Find the measure of x. Round
answer to nearest degree.
10
6 2
x
8
6
x  37
Find measure of x. Round answer
to nearest degree.
16
12
x
12
x  42
Find the measure of x and w.
Round answers to nearest degree.
w
28
x
x
24
x  65
w  50
x
18
63
71
y
Round to the nearest tenth
x = 19.1
y = 14.5
18
12
x
38
y
Round to the nearest tenth
x = 67.4
y = 18.8
y
78
x
40
80
Round to the nearest tenth
x = 54.1
y = 72
9
x
27
y
5
Round to the nearest tenth
x =5.1
y = 53.2
y
5
3
x
4
Round to the nearest tenth
x = 36.9
y = 53.1
A meteorologist measures the
angle of elevation of a weather
balloon as 41. 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.
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 18. Find the distance from the
base of the statue to the ship to
the nearest foot.
769 ft
An blimp provides aerial
television views of a football
game. The television camera
sights the stadium at 7 angle of
depression. The altitude of the
blimp is 400 m. What is the lineof-sight distance from the
television camera to the base of
the stadium? Round to the nearest
hundred meters.
3300 m
For a plane to approach a runway
in Oklahoma, the pilot must
begin a 3 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?
6.2 mi