Unit Test — Unit test Answers

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What is the length of ? Round to the nearest tenth.

Question illustration
A
6.8 cm
B
7.5 cm
C
14.5 cm
D
17.7 cm
42
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Triangle D E F is shown. Angle E D F is a right angle. The length of D E is 8 and the length of hypotenuse E F is 10.

Question illustration
A
Three-fifths
Option A
B
Three-fourths
Option B
C
Four-fifths
Option C
D
Four-thirds
Option D
43

A right triangle has one side that measures 4 in. The angle opposite that side measures 80o.What is the length of the hypotenuse of the triangle? Round to the nearest tenth.

A
3.9 in.
B
4.1 in.
C
22.7 in.
D
23.0 in.
44

In which triangle is the value of x equal to cos−1? (Images may not be drawn to scale.)

Question illustration
A
A right triangle is shown. The length of the hypotenuse is 6.7 and the length of another side is 4.3. The angle between the 2 sides is x.
Option A
B
A right triangle is shown. The length of the hypotenuse is 6.7 and the length of another side is 4.3. The angle opposite to side with length 4.3 is x.
Option B
C
A right triangle is shown. The length of the hypotenuse is 4.3 and the length of another side is 6.7. The angle between 2 sides is x.
Option C
D
A right triangle is shown. The length of the 2 sides are 6.7 and 4.3. The angle opposite to side with length 4.3 is x.
Option D
45

Triangle F G E is shown. Angle F E G is a right angle. The length of hypotenuse F G is 18.6 inches and the length of F E is 12 inches. Angle F G E is x.

Question illustration
A
32.8°
B
40.2°
C
49.8°
D
57.2°
46

What is the length of ? Round to the nearest tenth.

Question illustration
A
9.7 m
B
10.4 m
C
37.3 m
D
38.6 m
47

Which equation can be used to solve for b?

Question illustration
A
tan(30o) =
Option A
B
tan(30o) =
Option B
C
tan(30o) =
Option C
D
tan(30o) =
Option D
48

A triangle has angles that measure 30o, 60o, and 90o. The hypotenuse of the triangle measures 10 inches.Which is the best estimate for the perimeter of the triangle? Round to the nearest tenth.

A
20.0 in.
B
23.1 in.
C
23.7 in.
D
27.4 in.

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