AnswersCR CCSS Math 2 S2 M2960OXSolving for Side Lengths of Right Triangles

Solving for Side Lengths of Right Triangles Answers

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1
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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
2
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What is the approximate value of x? Round to the nearest tenth.

Question illustration
A
3.1 cm
B
3.9 cm
C
4.6 cm
D
5.4 cm
3

Find the length of . Use that length to find the length of .

Question illustration
A
2.3 cm
B
4.0 cm
C
10.7 cm
D
18.6 cm
4

Right triangle ABC is shown.

Question illustration
A
sin(50o) =
Option A
B
sin(50o) =
Option B
C
cos(50o) =
Option C
D
cos(50o) =
Option D
5

The equation can be used to determine the length of line segment AC.

Question illustration
A
11.8 cm
B
12.9 cm
C
14.9 cm
D
15.3 cm
6

Which equation can be used to solve for c?

Question illustration
A
c = (5)cos(35o)
B
c =
Option B
C
c = (5)sin(35o)
D
c =
Option D
7

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
8

A right triangle has a 30o angle. The leg adjacent to the 30o angle measures 25 inches.What is the length of the other leg? Round to the nearest tenth.

A
14.4 in.
B
21.7 in.
C
28.9 in.
D
43.3 in.
9

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

Question illustration
A
10.5 m
B
12.3 m
C
18.3 m
D
21.4 m
10

Which equation can be solved to find one of the missing side lengths in the triangle?

Question illustration
A
cos(60o) =
Option A
B
cos(60o) =
Option B
C
cos(60o) =
Option C
D
cos(60o) =
Option D
11

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.
12

A ramp leading into a building makes a 15° angle with the ground. The end of the ramp is 10 feet from the base of the building (along the ground).Approximately how long is the ramp? Round to the nearest tenth.

A
10.3 feet
B
10.4 feet
C
13.2 feet
D
38.6 feet
13

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
14

Which relationship in the triangle must be true?

Question illustration
A
sin(B) = sin(A)
B
sin(B) = cos(90 – B)
C
cos(B) = sin(180 – B)
D
cos(B) = cos(A)

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