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Right Triangle Relationships and Trigonometry — Test Answers

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Given triangle JKL , sine of open paren 38 degrees close paren equals

A
cosine of open paren 52 degrees close paren .
B
tangent of open paren 52 degrees close paren .
C
tangent of open paren 38 degrees close paren .
D
cosine of open paren 38 degrees close paren .
3

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

A
The side opposite angle cap r is line segment RQ .
B
The side opposite angle cap q is line segment RS .
C
The side adjacent to angle cap q is line segment QS .
D
The side adjacent to angle cap r is line segment SQ .
E
The hypotenuse is line segment QR .
4

What is the area of triangle DFG ? Round to the nearest whole square unit.

A
728 square units
B
27 square units
C
364 square units
D
38 square units
5

Which equation can be used to solve for angle cap A ?

A
sine of cap A over 2 point 4 is equal to sine of open paren 110 degrees close paren over 4 point 6
B
sine of cap A over 3 point 2 is equal to sine of open paren 110 degrees close paren over 4 point 6
C
sine of cap A over 4 point 6 is equal to sine of open paren 110 degrees close paren over 3 point 2
D
sine of cap A over 4 point 6 is equal to sine of open paren 110 degrees close paren over 2 point 4
7

Which equation correctly uses the law of cosines to solve for y ?

A
9 squared is equal to y squared plus 19 squared minus 2 9 19 cosine open paren 41 degrees close paren
B
9 squared is equal to y squared plus 19 squared minus 2 y 19 cosine open paren 41 degrees close paren
C
y squared is equal to 9 squared plus 19 squared minus 2 9 19 cosine open paren 41 degrees close paren
D
y squared is equal to 9 squared plus 19 squared minus 2 y 19 cosine open paren 41 degrees close paren
9

What is the area of triangle PQR ? Round to the nearest tenth of a square unit.

A
185 point 4 square units
B
111 point 3 square units
C
70 point 5 square units
D
222 point 5 square units
12

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
13

Which measures are accurate regarding triangle JKL ? Choose two correct answers.

A
KL almost equal to 2 point 5 units
B
k almost equal to 3 point 7 units
C
m angle cap k is equal to 94 degrees
D
KL almost equal to 3 point 2 units
E
k almost equal to 4 point 6 units
14

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

A
23 point 5 in.
B
68 point 0 in.
C
21 point 3 in.
D
19 point 3 in.
16

What is the measure of angle cap n to the nearest whole degree?

A
35 degrees
B
65 degrees
C
55 degrees
D
45 degrees
17

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 12 over A
B
tangent of open paren 22.6 degrees close paren is equal to A over 12
C
tangent of open paren 22.6 degrees close paren is equal to 13 over A
D
tangent of open paren 22.6 degrees close paren is equal to A over 13
18

Which equation can be used to find the length of line segment AC ? Expand Image

A
10 times cosine times open paren 40 degrees close paren is equal to AC
B
the fraction with numerator 10 and denominator mathrm sine open paren 40 raised to the mathrm o power close paren is equal to AC
C
the fraction with numerator 10 and denominator mathrm cosine open paren 40 raised to the mathrm o power close paren is equal to AC
D
10 times sine times open paren 40 degrees close paren is equal to AC
20

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 is shown. The length of the 2 sides are 5 point 2 and 3 point 1. The angle opposite to the side with length 5 point 2 is labeled as x.
B
Image with description A right triangle is shown. The length of the hypotenuse is 5 point 2 and the length of the side adjacent to the right angle is 3 point 1. The angle opposite to the side with length 3 point 1 is labeled as x.
C
Image with description A right triangle is shown. The length of 2 sides are 5 point 2 and 3 point 1. The angle opposite to side with length 3 point 1 is labeled as x.
D
Image with description A right triangle is shown. The length of the hypotenuse is 5 point 2 and the length of the side adjacent to the right angle is 3 point 1. The angle between the 2 sides is labeled as x.

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