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WorksheetsRight Triangle Trig
Total questions: 23
Worksheet time: 1hrs 4mins
Name
Class
Date
1.
Find the measure of the indicated angle (?) round to the nearest tenth.
a)
9.4
b)
55.2
c)
20.15
d)
19.4
2.
Susan is flying a kite, which gets caught in the top of a tree. Use the diagram to estimate the height of the tree.
a)
63 ft
b)
65 ft
c)
74 ft
d)
87 ft
3.
A ramp is being built next to a 4-inch high sidewalk. The ramps angle of inclination is 10 degrees. Estimate the length of the ramp to the nearest tenth of an inch.
a)
4.1 inches
b)
3.9 inches
c)
22.7 inches
d)
0.7 inches
4.
A yacht is anchored 90 feet offshore from the base of a lighthouse. The angle of elevation from the boat to the top of the lighthouse is 26 degrees. The distance between the yacht and the top of the lighthouse is about 100 feet. Which of these is nearest to the height of the lighthouse?
a)
25 feet
b)
45 feet
c)
110 feet
d)
135 feet
5.
A hawk sitting on a tree branch spots a mouse on the ground 15 feet from the base of the tree. The hawk swoops down toward the mouse at an angle of 30 degrees. What is the distance from the tree branch to the mouse?
a)
7.5 ft
b)
15 ft
c)
26 ft
d)
30 ft
6.
A tourist views a deer from a height of 45 feet. The horizontal distance between the tourist and the deer is 130 feet. At what angle (x) should the tourist hold his camera to photograph the deer? Round your answer to the nearest degree.
a)
19 degrees
b)
45 degrees
c)
71 degrees
d)
138 degrees
7.
FInd tanX
a)
32/40
b)
40/24
c)
32/24
d)
24/32
8.
Find sinA
a)
32/40
b)
32/24
c)
24/40
d)
24/32
9.
What trigonometric ratio would be used to find the distance from the ship to the plane?
a)
sine
b)
cosine
c)
tangent
d)
inverse sine
10.
Solve for x. Round to the nearest tenth.
a)
9.8
b)
0.1
c)
0.038
d)
9.9
11.
Which side is opposite of theta?
a)
z
b)
y
c)
x
d)
w
12.
what is the formula for finding the hypotnuse?
a)
a2+b2=c2
b)
a+b=c
c)
a-b=c
d)
c-a=c
13.
Solve for side a.
a)
a=.02
b)
a=54.7
c)
a=49.2
d)
a=26.7
14.
x ≈ _____
a)
15.7
b)
23.2
c)
18.9
d)
50.1
15.
Which one is the easy trick to remember trigonometric ratios?
a)
Sah Coh Toa
b)
Soh Cah Toa
c)
Soh Cah Tao
d)
Soh Ceh Toa
16.
A 30 ft. wire stretches from the top of a light pole diagonally to the ground. The light pole is 10 feet high. What is the angle the wire makes with the ground?
a)
66 degrees
b)
80 degrees
c)
30 degrees
d)
19 degrees
17.
Jake is 6 ft. tall. He is standing outside when the angle of elevation of the sun is 28 degrees. How long would his shadow be?
a)
5.3 feet
b)
2.8 feet
c)
3.2 feet
d)
11.3 feet
18.
Solve for the missing Hypotenuse:
a)
15
b)
14
c)
16
19.
What is the length of EF ?
a)
4.12
b)
11.58
c)
12.04
d)
20.07
20.
What is the distance to the star?
a)
6
b)
7
c)
6.32
d)
6.71
21.
An Obtuse triangle has:
a)
One angle greater than 90°
b)
3 angles less than 90°
c)
All angles are equal
d)
One angle equals 90°
22.
Which set of side lengths form a right triangle?
a)
3, 4, 7
b)
33, 56, 65
c)
66, 72, 97
d)
10, 15, 25
23.
The lengths of a triangle are given below. Is the the triangle obtuse, acute, or right?
11, 12, 15
11, 12, 15
a)
right
b)
obtuse
c)
acute
d)
Not a Triangle
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