AnswersCMS 2026-2027 NC Math 2 CREDIT RECOVERYRight Triangle Trigonometry

Right Triangle Trigonometry — Test Answers

25 verified answers
1
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Which statements are true about triangle QRS ? Choose three correct answers.

A
The side adjacent to angle cap r is line segment SQ .
B
The side adjacent to angle cap q is line segment QS .
C
The side opposite angle cap r is line segment RQ .
D
The side opposite angle cap q is line segment RS .
E
The hypotenuse is line segment QR .
2
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Which expressions can be used to find m angle ABC ? Choose two correct answers.

A
cosine inverse of open paren 9 point 8 over 6 point 3 close paren
B
cosine inverse of open paren 7 point 5 over 9 point 8 close paren
C
sine inverse of open paren 9 point 8 over 7 point 5 close paren
D
sine inverse of open paren 7 point 5 over 9 point 8 close paren
E
cosine inverse of open paren 6 point 3 over 9 point 8 close paren
3

What is the length of line segment AB ? Round to the nearest tenth.

A
68 point 0 in.
B
21 point 3 in.
C
23 point 5 in.
D
19 point 3 in.
4

The hypotenuse of a 45 degrees - 45 degrees - 90 degrees triangle measures 4 cm. What is the length of one leg of the triangle?

A
2 cm
B
4 square root of 2 cm
C
4 cm
D
2 square root of 2 cm
5

In right triangle XYZ , the right angle is located at vertex cap y The length of line segment XY is 12 point 4 cm. The length of line segment YZ is 15 point 1 cm. Which is the approximate measure of angle YZX ?

A
50.6 degrees
B
34.8 degrees
C
55.2 degrees
D
39.4 degrees
6

In which triangle is the value of x equal to tangent inverse of open paren 3 point 1 over 5 point 2 close paren ? (Images may not be drawn to scale.)

A
Image with description A right triangle has a right angle at the upper-left vertex and angle x at the upper-right vertex. The top horizontal side is labeled 3.1, and the slanted side from the lower-left vertex to the upper-right vertex is labeled 5.2.
B
Image with description A right triangle has a right angle at the upper-left vertex and angle x at the upper-right vertex. The top horizontal side is labeled 3.1, and the left vertical side is labeled 5.2.
C
Image with description A right triangle has a right angle at the lower-right vertex and angle x at the top vertex. The bottom horizontal side is labeled 3.1, and the slanted side from the lower-left vertex to the top vertex is labeled 5.2.
D
Image with description A right triangle has a right angle at the lower-right vertex and angle x at the lower-left vertex. The bottom horizontal side is labeled 5.2, and the right vertical side is labeled 3.1.
7

A right triangle has one angle that measure 23 degrees The adjacent leg measures 27 point 6 cm and the hypotenuse measures 30 cm. What is the approximate area of the triangle? Round to the nearest tenth. Area of a triangle is equal to 1 half b h

A
161 point 8 cm squared
B
68 point 7 cm squared
C
450 point 0 cm squared
D
381 point 3 cm squared
8

Which equation can be used to find the length of line segment AC ? Open image in full-screen view

A
the fraction with numerator 10 and denominator mathrm sine open paren 40 raised to the mathrm o power close paren is equal to AC
B
the fraction with numerator 10 and denominator mathrm cosine open paren 40 raised to the mathrm o power close paren is equal to AC
C
10 times cosine times open paren 40 degrees close paren is equal to AC
D
10 times sine times open paren 40 degrees close paren is equal to AC
9

Which equation can be used to find the measure of angle LJK ?

A
cosine of x is equal to 10 over 15
B
sine of x is equal to 15 tenths
C
sine of x is equal to 10 over 15
D
cosine of x is equal to 15 tenths
10

What are the angle measures of triangle VUW ?

A
m angle cap v is equal to 30 degrees , m angle cap u is equal to 60 degrees , m angle cap w is equal to 90 degrees
B
m angle cap v is equal to 30 degrees , m angle cap u is equal to 90 degrees , m angle cap w is equal to 60 degrees
C
m angle cap v is equal to 60 degrees , m angle cap u is equal to 90 degrees , m angle cap w is equal to 30 degrees
D
m angle cap v is equal to 90 degrees , m angle cap u is equal to 60 degrees , m angle cap w is equal to 30 degrees
11

What is the value of x ?

A
20 units
B
25 units
C
12 units
D
15 units
12

Which equation can be used to solve for c ?

A
sine of open paren 50 degrees close paren is equal to 3 over c
B
cosine of open paren 50 degrees close paren is equal to 3 over c
C
cosine of open paren 50 degrees close paren is equal to c over 3
D
sine of open paren 50 degrees close paren is equal to c over 3
13

Which equation correctly uses the value of b to solve for A ?

A
tangent of open paren 22.6 degrees close paren is equal to A over 13
B
tangent of open paren 22.6 degrees close paren is equal to 13 over A
C
tangent of open paren 22.6 degrees close paren is equal to 12 over A
D
tangent of open paren 22.6 degrees close paren is equal to A over 12
14

Given right triangle DEF , what is the value of tangent of cap f ?

A
9 over 41
B
41 ninths
C
40 ninths
D
40 over 41
15

What is the length of line segment SR ?

A
15 units
B
12 units
C
9 units
D
18 units
16

What is the value of y ?

A
3 square root of 3 units
B
9 square root of 3 units
C
12 square root of 3 units
D
6 square root of 3 units
17

Given right triangle ABC , what is the value of tangent of cap A ?

A
12 fifths
B
13 over 12
C
5 over 13
D
12 over 13
18

If triangle YWZ approximates triangle YXW , what is true about angle XWZ ?

A
angle XWZ is an obtuse angle.
B
angle XWZ is congruent to angle XZW .
C
angle XWZ is congruent to angle WXY .
D
angle XWZ is a right angle.
19

What is the length of one leg of the triangle?

A
11 square root of 2 units
B
22 units
C
11 units
D
22 square root of 2 units
20

What is the length of line segment AB ?

A
square root of 3 inches
B
4 square root of 3 inches
C
4 inches
D
1 inch

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