Trigonometric Ratios Worksheet Template

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Regents Exam Questions A2.A.55: Trigonometric Ratios
Name: ________________________
A2.A.55: Express and apply the six trigonometric functions as ratios of the sides of a right
triangle
1 Which ratio represents csc A in the diagram below?
3 By law, a wheelchair service ramp may be inclined
no more than 4.76°. If the base of a ramp begins 15
feet from the base of a public building, which
equation could be used to determine the maximum
height, h, of the ramp where it reaches the
building’s entrance?
h
1)
sin 4.76° =
15
25
15
1)
2)
sin 4.76° =
24
h
25
h
2)
3)
tan 4.76° =
7
15
24
15
3)
4)
tan 4.76° =
7
h
7
4 In the diagram below of right triangle KTW,
4)
24
KW = 6 , KT = 5 , and m∠KTW = 90 .
2 In the diagram below of right triangle JTM,
JT = 12 , JM = 6 , and m∠JMT = 90 .
What is the measure of ∠K , to the nearest minute?
1)
33°33'
2)
33°34'
What is the value of cot J ?
3)
33°55'
3
1)
4)
33°56'
3
5 In the right triangle shown below, what is the
2)
2
measure of angle S, to the nearest minute?
3)
3
2
3
4)
3
1)
28°1'
2)
28°4'
3)
61°56'
4)
61°93'
1

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