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WorksheetsUnit 2 Right Triangle Trig
Total questions: 18
Worksheet time: 35mins
Name
Class
Date
1.
Find the length of side w.
a)
21.4 cm
b)
18.0 cm
c)
36.5 cm
d)
43.6 cm
2.
Solve for x. Round to the nearest tenth.
a)
103.5
b)
4.7
c)
55.0
d)
23.4
3.
Solve for x. Round to the nearest tenth.
a)
44.0
b)
41.4
c)
1.2
d)
1.0
4.
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
5.
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
6.
Use trig ratios (SOH CAH TOA) to solve for x
a)
50.7
b)
50.1
c)
60.7
d)
61.0
7.
Use trig ratios (SOH CAH TOA) to solve for x
a)
5.0
b)
6.1
c)
7.7
d)
6.4
8.
A 16 foot ladder leans against a building. If the angle the ladder makes with the ground is 68°, how high up the building does the ladder reach?
a)
39.6
b)
6.0
c)
14.8
d)
13.6
9.
A pilot looks down and sees the runway at an angle of depression of 10°. If the horizontal distance between the plane and the runway is 8000 feet, what is the height of the plane?
a)
1410.6
b)
1389.2
c)
5671.3
d)
7878.5
10.
Find the missing side
a)
9
b)
26.9
c)
37
d)
18.2
11.
Jane and Miguel are siblings. They go to different
schools. Jane walks 6 blocks east from home. Miguel walks 8 blocks north. How
many blocks apart would the two schools be if you could walk straight from one
school to the other?
a)
14
b)
10
c)
5.3
d)
2
12.
Find the measure of the indicated angle.
a)
35
b)
145
c)
78
d)
67
13.
Solve for x.
a)
8
b)
-10
c)
-7
d)
6
14.
sin 20⁰ = ?
a)
cos 70⁰
b)
sin 70⁰
c)
cos 20⁰
d)
tan 20⁰
15.
cos 40⁰ = ?
a)
sin 50⁰
b)
cos 50⁰
c)
tan 50⁰
d)
sin 40⁰
16.
If sin x = cos x, what is the value of x?
a)
45⁰
b)
90⁰
c)
30⁰
d)
60⁰
17.
If cos α = sin β, what must be true about α and β?
a)
α and β are complementary angles
b)
α and β are congruent angles
c)
α and β are right angles
d)
α and β are supplementary angles
18.
If α and β are complementary angles, why is sin α = cos β?
a)
There is no reason, that is just the way it is.
b)
The adjacent leg to β is the opposite leg to α.
c)
Because α = β.
d)
Because α and β are greek letters.
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