AnswersCR CCSS Math 2 S2 M2960OXRight Triangle Similarity

Trigonometric Ratios Answers

0 verified answers1 views
1
Free Preview

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
2
Free Preview

Triangle M N L is shown. Angle M N L is a right angle. The length of N L is 15 and the length of hypotenuse M L is 25.

Question illustration
A
Three-fifths
Option A
B
Three-fourths
Option B
C
Four-fifths
Option C
D
Five-thirds
Option D
3

Triangle J K L is shown. Angle J K L is a right angle. The length of J K is 12 and the length of K L is 5.

Question illustration
A
Five-thirteenths
Option A
B
Five-twelfths
Option B
C
Twelve-thirteenths
Option C
D
Twelve-fifths
Option D
4

Triangle M N O is shown. Angle O N M is a right angle. Angle N O M is 40 degrees and angle L M N is 50 degrees.

Question illustration
A
StartFraction O N Over M N EndFraction
Option A
B
StartFraction M N Over M O EndFraction
Option B
C
StartFraction O N Over M O EndFraction
Option C
D
StartFraction M N Over O N EndFraction
Option D
5

Triangle D E F is shown. Angle D E F is a right angle. The length of hypotenuse D F is 5 StartRoot 2 EndRoot and the lengths of sides D E and E F are 5.

Question illustration
A
sin(F).
B
sin(D).
C
tan(F).
D
cos(D).
6

Triangle J K M is shown. Angle J M K is a right angle. The length of hypotenuse K J is a, the length of J M is b, and the length of K M is c.

Question illustration
A
a is the hypotenuse, b is adjacent, c is opposite
B
a is the hypotenuse, b is opposite, c is adjacent
C
a is adjacent, b is opposite, c is the hypotenuse
D
a is opposite, b is the hypotenuse, c is adjacent
7

Triangle P Q R is shown. Angle Q R P is a right angle. Angle R P Q is 30 degrees and angle P Q R is 60 degrees.

Question illustration
A
StartFraction R P Over R Q EndFraction
Option A
B
StartFraction R P Over P Q EndFraction
Option B
C
StartFraction R Q Over P Q EndFraction
Option C
D
StartFraction R Q Over P R EndFraction
Option D
8

Triangle A B C is shown. Angle B C A is a right angle. The length of hypotenuse A B is 5, the length of B C is 3, and the length of A C is 4.

Question illustration
A
3 units
B
4 units
C
5 units
D
6 units
9

Which trigonometric ratios are correct for triangle ABC? Select three options.

A
sin(C) =
Option A
B
cos(B) =
Option B
C
tan(C) =
Option C
D
sin(B) =
Option D
E
tan(B) =
Option E
10

Triangle G Y K is shown. Angle G K Y is a right angle. Angle K G Y is 60 degrees and angle G Y K is 30 degrees. The length of G K is 27.

Question illustration
A
One-half
Option A
B
StartFraction StartRoot 3 EndRoot Over 2 EndFraction
Option B
C
StartFraction 2 StartRoot 3 EndRoot Over 3 EndFraction
Option C
D
StartRoot 3 EndRoot
Option D
11

Triangle X Y Z is shown. Angle X Z Y is a right angle. The length of Z X is b, the length of Z Y is a, and the length of hypotenuse X Y is c.

Question illustration
A
a is opposite, b is adjacent, c is the hypotenuse
B
a is the hypotenuse, b is opposite, c is adjacent
C
a is adjacent, b is the hypotenuse, c is opposite
D
a is adjacent, b is opposite, c is the hypotenuse
12

Triangle X Y Z is shown. Angle X Z Y is a right angle. Angle Z X Y is 60 degrees and angle X Y Z is 30 degrees. The length of hypotenuse X Y is 4.

Question illustration
A
One-half
Option A
B
StartFraction StartRoot 3 EndRoot Over 3 EndFraction
Option B
C
StartFraction StartRoot 3 EndRoot Over 2 EndFraction
Option C
D
StartFraction 2 StartRoot 3 EndRoot Over 3 EndFraction
Option D
13

Which trigonometric ratios are correct for triangle DEF? Select three options.

A
sin(D) =
Option A
B
cos(E) =
Option B
C
tan(D) =
Option C
D
sin(E) =
Option D
E
tan(D) =
Option E
14

Triangles P Q R and S T U are shown. Angles P R Q and T S U are right angles. The length of P Q is 20, the length of Q R is 16, and the length of P R is 12. The length of S T is 30, the length of T U is 34, and the length of S U is 16.

Question illustration
A
∠P
B
∠Q
C
∠T
D
∠U
15

Julian describes an angle in the triangle using these statements.GH is the adjacent side.HK is the opposite side.GK is the hypotenuse.

Question illustration
A
∠G
B
∠H
C
∠K
D
∠H and ∠K

Did you find these answers helpful?

More from this Course

Quiz
15 verified answers

Right Triangle Similarity

Quiz
13 verified answers

Right Triangle Similarity

Quiz
10 verified answers

Right Triangle Similarity