AnswersTPS EdX GeometryRight Triangle Relationships and Trigonometry

Right Triangle Relationships and Trigonometry — Test Answers

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1
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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 4 point 6 is equal to sine of open paren 110 degrees close paren over 3 point 2
C
sine of cap A over 4 point 6 is equal to sine of open paren 110 degrees close paren over 2 point 4
D
sine of cap A over 3 point 2 is equal to sine of open paren 110 degrees close paren over 4 point 6
2
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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 2 sides are 5 point 2 and 3 point 1. The angle opposite to side with length 3 point 1 is labeled as x.
B
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.
C
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.
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.
3

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

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
10 times cosine times open paren 40 degrees 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
4

Which classification best represents a triangle with side lengths 10 in., 12 in., and 15 in.?

A
acute, because 10 squared plus 12 squared is greater than 15 squared
B
acute, because 12 squared plus 15 squared is greater than 10 squared
C
obtuse, because 12 squared plus 15 squared is greater than 10 squared
D
obtuse, because 10 squared plus 12 squared is greater than 15 squared
7

What is the length of one leg of the triangle?

A
22 square root of 2 units
B
22 units
C
11 units
D
11 square root of 2 units
8

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

A
k almost equal to 4 point 6 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
KL almost equal to 2 point 5 units
9

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 A over 13
D
tangent of open paren 22.6 degrees close paren is equal to 13 over A
10

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

A
222 point 5 square units
B
185 point 4 square units
C
111 point 3 square units
D
70 point 5 square units
11

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

A
y squared is equal to 9 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 9 19 cosine open paren 41 degrees close paren
C
9 squared is equal to y squared plus 19 squared minus 2 y 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
12

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

A
23 point 5 in.
B
19 point 3 in.
C
68 point 0 in.
D
21 point 3 in.
14

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 hypotenuse is line segment QR .
D
The side adjacent to angle cap q is line segment QS .
E
The side adjacent to angle cap r is line segment SQ .
18

If the diagonal of the sandbox measures 14 feet, which best describes the shape of the sandbox?

A
a quadrilateral, because angle cap c and angle cap x are acute
B
a rectangle, because angle cap c and angle cap x are congruent
C
a quadrilateral, because angle cap c and angle cap x are obtuse
D
a rectangle, because angle cap c is a right angle
20

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

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

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