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Geometry Chapter 7 - Right Triangles and Trigonometry



 1. 

Find the length of the leg of this right triangle. Give an approximation to 3 decimal places.

mc001-1.jpg
a.
10.863
b.
22.804
c.
11.314
d.
5.657
 

 2. 

Which set of lengths cannot form a right triangle?
a.
4.5 mm, 6 mm, 7.5 mm
c.
10 mm, 12 mm, 15 mm
b.
9 mm, 12 mm, 15 mm
d.
18 mm, 24 mm, 30 mm
 

 3. 

A photographer shines a camera light at a particular painting forming an angle of 47° with the camera platform. If the light is 52 feet from the wall where the painting hangs, how high above the platform is the painting?

mc003-1.jpg
a.
1.07 ft
b.
48.49 ft
c.
0.93 ft
d.
55.76 ft
 

 4. 

Write cos A.

mc004-1.jpg
a.
mc004-2.jpg
b.
mc004-3.jpg
c.
mc004-4.jpg
d.
mc004-5.jpg
 

 5. 

A slide 3.8 m long makes an angle of 25° with the ground. How high is the top of the slide above the ground?
a.
1.77 m
b.
1.61 m
c.
1.66 m
d.
3.44 m
 

 6. 

What is x to the nearest hundredth? (not drawn to scale)
mc006-1.jpg
a.
mc006-2.jpg
b.
mc006-3.jpg
c.
mc006-4.jpg
d.
mc006-5.jpg
 

 7. 

Solve for x to the nearest degree.

mc007-1.jpg
a.
30
b.
60
c.
63
d.
27
 

 8. 

Find the length of the altitude drawn to the hypotenuse.
mc008-1.jpg
a.
36
b.
9
c.
15
d.
6
 

 9. 

If the short leg of a 30-60-90 triangle is 4, what is the length of the hypotenuse?
a.
mc009-1.jpg
b.
8
c.
4
d.
mc009-2.jpg
 

 10. 

If the hypotenuse of a 45-45-90 triangle is 16, what is the length of one of its legs?
a.
mc010-1.jpg
b.
mc010-2.jpg
c.
4
d.
8
 



 
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