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M2 Quiz 13 More Right Triangles

Total questions: 25

Worksheet time: 2hrs 38mins

Name
Class
Date
1.

Set up the problem so that you can solve for X.

a)

sin X = 41/28

b)

tan X = 41/28

c)

cos X = 28/41

d)

sin X = 28/41

2.

Solve for the missing angle

a)

50.5 degrees

b)

12.7 degrees

c)

36.9 degrees

d)

72.2 degrees

3.

Solve for x. Round to the nearest tenth.

a)

15.3

b)

16.6

c)

24.1

d)

24.3

4.
Find the measure of the indicated angle (?) round to the nearest tenth.
a)
9.4
b)
55.2
c)
20.15
d)
19.4
5.
Choose the correct ratio.
a)
sin(37)=x/14
b)
cos(37)=x/14
c)
tan(37)=x/14
d)
sin(37)=14/x
6.
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 
7.

What is the ratio for Tangent

a)

Opp/Adj

b)

Adj/Opp

c)

Opp/Hyp

d)

Hyp/Opp

8.
What is the correct ratio?
a)
9/41
b)
40/41
c)
9/40
d)
40/9
9.
What is the correct ratio?
a)
7/24
b)
24/7
c)
7/25
d)
24/25
10.
Solve for x.
a)
24.20
b)
4.92
c)
290.4
d)
29.75
11.
We can use SOH-CAH-TOA for...
a)
Any triangle ever
b)
Non-right triangles only
c)
Right Triangles only
d)
Never
12.
Find x round to the nearest tenth.
a)
46.1
b)
4.9
c)
16.4
d)
26.9
13.
A new pipeline is being created to shorten the distance it has to travel to get from point A to point B. The original pipeline ran at a 90 angle from point A to point B and was 20 miles on one side and 15 miles on the other. The new pipeline will go straight from A to B. How much shorter will the new pipeline be?
a)
10
b)
25
c)
175
d)
625
14.
You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?
a)
25 feet
b)
26 feet
c)
27 feet
d)
28 feet
15.

The slide at the playground has a height of 6 feet. The base of the slide measured on the ground is 8 feet. What is the length of the slide?

a)

8 feet

b)

5.29 feet

c)

10 feet

d)

14 feet

16.
To get from one side of the pond to the other you must walk 34 meters south and 41 meters east.  To the nearest meter, how many less meters would it take if it were possible to go directly across the pond.  
a)
53
b)
22
c)
75
d)
9
17.

Round your answer to the nearest tenth.

a)

36.9°

b)

31.0°

c)

59.0°

d)

53.1°

18.
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
19.
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
20.
A plane takes off at an angle of 30 degrees and reaches a height of 10 miles.  What is the diagonal distance it has traveled from take off to it's current position?
a)
15 miles
b)
38 miles
c)
17 miles
d)
20 miles
21.
Sally is flying a kite at an angle of 41 degrees. If the kite is 10 feet up in the air, how long is the kite string? 
a)
6.6 feet
b)
10.3 feet
c)
15.2 feet
d)
20 feet
22.
Spencer is going snowboarding.  He rode the ski lift to the top of the mountain, which is at an altitude of 1500 feet.  The angle of elevation from the bottom to the top of the mountain is 25o.  What is the length of the Spencer’s run (his trip down the hill)? 
a)
3216.76 feet
b)
633.93 feet
c)
699.46 feet
d)
3549.30
23.
A building 62 feet tall casts a shadow 21 meters long.  At what angle is the sun shining on the building?
a)
19.80
b)
18.71
c)
70.20
d)
71.29
24.
Jake built a skateboard ramp that covers a horizontal distance of 10 ft.  The ramp rises a total of 3.5 ft.  What angle does the ramp make with the ground? Round to the nearest degree.
a)
19 degrees
b)
20 degrees
c)
28 degrees
d)
35 degrees
25.

A ship leaves port at 1:00 p.m. and sails in the direction N34°W at a rate of 24 mi/hr. Another ship leaves port at 1:30 p.m. and sails in the direction N56°E at a rate of 18 mi/hr.


Approximately how far apart are the ships at 3:00 p.m. ?

(to the nearest whole mile)

a)

App. 48 mi.

b)

App. 130 mi.

c)

App. 55 mi.

d)

App. 33 mi.

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