AnswersMathematics IISolving for Angle Measures of Right Triangles

Solving for Angle Measures of Right Triangles — Quiz Answers

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1
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Which expressions can be used to find m angle BAC ? Choose three correct answers.

A
sine inverse of open paren 6 point 9 over 12 close paren
B
sine inverse of open paren 9 point 8 over 12 close paren
C
cosine inverse of open paren 9 point 8 over 12 close paren
D
tangent inverse of open paren 9 point 8 over 6 point 9 close paren
E
cosine inverse of open paren 6 point 9 over 12 close paren
2
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In which triangle is the value of x equal to cosine inverse of open paren 4 point 3 over 6 point 7 close paren ? (Images may not be drawn to scale.)

A
Image with description A right triangle is shown. The length of the hypotenuse is 6 point 7 and the length of another side is 4 point 3. The angle opposite to side with length 4 point 3 is x.
B
Image with description A right triangle is shown. The length of the hypotenuse is 4 point 3 and the length of another side is 6 point 7. The angle between 2 sides is x.
C
Image with description A right triangle is shown. The length of the hypotenuse is 6 point 7 and the length of another side is 4 point 3. The angle between the 2 sides is x.
D
Image with description A right triangle is shown. The length of the 2 sides are 6 point 7 and 4 point 3. The angle opposite to side with length 4 point 3 is x.
5

A right triangle has side lengths AC is equal to 7 inches, BC is equal to 24 inches, and AB is equal to 25 inches. What are the measures of the angles in triangle ABC ?

A
m angle cap A almost equal to 74.4 degrees , m angle cap b almost equal to 15.6 degrees , m angle cap c almost equal to 90 degrees
B
m angle cap A almost equal to 73.7 degrees , m angle cap b almost equal to 16.3 degrees , m angle cap c almost equal to 90 degrees
C
m angle cap A almost equal to 46.2 degrees , m angle cap b almost equal to 43.8 degrees , m angle cap c almost equal to 90 degrees
D
m angle cap A almost equal to 73.0 degrees , m angle cap b almost equal to 17.0 degrees , m angle cap c almost equal to 90 degrees
7

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

A
cosine of x is equal to 15 point 2 over 9
B
cosine of x is equal to 9 over 15 point 2
C
sine of x is equal to 9 over 15 point 2
D
sine of x is equal to 15 point 2 over 9
8

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

A
tangent inverse of open paren 5 over 12 close paren is equal to x
B
cosine inverse of open paren 12 over 13 close paren is equal to x
C
cosine inverse of open paren 13 over 12 close paren is equal to x
D
tangent inverse of 12 fifths is equal to x
9

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

A
cosine inverse of open paren 11 point 9 over 14 point 5 close paren is equal to theta
B
sine inverse of open paren 14 point 5 over 11 point 9 close paren is equal to theta
C
cosine inverse of open paren 14 point 5 over 11 point 9 close paren is equal to theta
D
sine inverse of open paren 11 point 9 over 14 point 5 close paren is equal to theta
10

Which equation can be used to solve for the measure of angle ABC ?

A
sine of x is equal to 10 over 10 point 3
B
tangent of x is equal to 10 over 2 point 4
C
sine of x is equal to 10 point 3 over 10
D
tangent of x is equal to 2 point 4 over 10

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