AnswersCR CCSS Math 2 S2 M2960OXUsing Triangle Similarity Theorems

3.3 - Trigonometric Ratios Answers

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A person is standing exactly 36 ft from a telephone pole. There is a 30° angle of elevation from the ground to the top of the pole.

Question illustration
A
12 ft
B
ft
Option B
C
18 ft
D
ft
Option D
2
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Which triangle is a 30°-60°-90° triangle?

A
A triangle has side lengths of 5, 10, and 5 StartRoot 3 EndRoot.
Option A
B
A triangle has side lengths of 5, 15, and 5 StartRoot 3 EndRoot.
Option B
C
A triangle has side lengths of 5, 10, and 10 StartRoot 3 EndRoot.
Option C
D
A triangle has side lengths of 10, 15, and 5 StartRoot 3 EndRoot
Option D
3

Line segment YV of rectangle YVWX measures 24 units.

Question illustration
A
8 units
B
units
Option B
C
12 units
D
units
Option D
4

Consider triangle GHJ.

Question illustration
A
5 units
B
units
Option B
C
10 units
D
units
Option D
5

Consider the incomplete paragraph proof.Given: Isosceles right triangle XYZ (45°–45°–90° triangle)Prove: In a 45°–45°–90° triangle, the hypotenuse is times the length of each leg.

Question illustration
A
Substitute values for a and c into the original Pythagorean theorem equation.
B
Divide both sides of the equation by two, then determine the principal square root of both sides of the equation.
C
Determine the principal square root of both sides of the equation.
D
Divide both sides of the equation by 2.
6

Each leg of a 45°-45°-90° triangle measures 12 cm.

Question illustration
A
6 cm
B
cm
Option B
C
12 cm
D
cm
Option D
7

A wall in Maria’s bedroom is in the shape of a trapezoid. The wall can be divided into a rectangle and a triangle.

Question illustration
A
6.5 ft
B
ft
Option B
C
13 ft
D
ft
Option D
8

The height of trapezoid VWXZ is units. The upper base,VW, measures 10 units. Use the 30°-60°-90° triangle theorem to find the length of YX.

Question illustration
A
14 units
B
units
Option B
C
18 units
D
units
Option D
9

The length of segment XY is 9 cm. Which statements regarding triangle XYZ are correct? Select two options.

A
YZ = 9 cm
B
XZ = 9 cm
C
XZ = cm
Option C
D
XZ = 2(XY)
E
YZ is the longest segment in △XYZ.
10

Which statements regarding triangle DEF are correct? Select three options.

A
EF is the longest side of △DEF.
B
DF = 6 cm
C
DE = cm
Option C
D
DF = cm
Option D
E
DE = cm
Option E

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