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Regents Exam Questions G.SRT.C.8: Using Trigonometry to Find a Side 1b
Page 1
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Name: __________________________________
1 In the accompanying diagram of right triangle ABC,
and
.
Which single function could be used to find AB?
1)
2)
3)
4)
2 In right triangle ABC,
1)
. Which equation is true for this triangle?
2)
3)
4)
3 The angle of elevation from a point 25 feet from the base of a tree on level ground to the
top of the tree is 30°. Which equation can be used to find the height of the tree?
1)
2)
3)
4)
4 In the right triangle shown in the diagram below, what is the value of x to the nearest
whole number?
Regents Exam Questions G.SRT.C.8: Using Trigonometry to Find a Side 1b
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Name: __________________________________
5 Given the right triangle in the diagram below, what is the value of x, to the nearest foot?
6 As shown in the diagram below, a building casts a 72-foot shadow on the ground when the
angle of elevation of the Sun is 40°.
How tall is the building, to the nearest foot?
7 The accompanying diagram shows a ramp 30 feet long leaning against a wall at a
construction site.
If the ramp forms an angle of 32° with the ground, how high above the ground, to the
nearest tenth, is the top of the ramp?
Regents Exam Questions G.SRT.C.8: Using Trigonometry to Find a Side 1b
Page 3
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Name: __________________________________
8 As shown in the diagram below, the angle of elevation from a point on the ground to the
top of the tree is 34°.
If the point is 20 feet from the base of the tree, what is the height of the tree, to the nearest
tenth of a foot?
9 A tree casts a 25-foot shadow on a sunny day, as shown in the diagram below.
If the angle of elevation from the tip of the shadow to the top of the tree is 32°, what is the
height of the tree to the nearest tenth of a foot?
10 An 8-foot rope is tied from the top of a pole to a stake in the ground, as shown in the
diagram below.
If the rope forms a 57° angle with the ground, what is the height of the pole, to the nearest
tenth of a foot?
Regents Exam Questions G.SRT.C.8: Using Trigonometry to Find a Side 1b
Page 4
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Name: __________________________________
11 The diagram below shows two similar triangles.
If
, what is the value of x, to the nearest tenth?
12 A right triangle contains a 38° angle whose adjacent side measures 10 centimeters. What
is the length of the hypotenuse, to the nearest hundredth of a centimeter?
13 A 20-foot support post leans against a wall, making a 70° angle with the ground. To the
nearest tenth of a foot, how far up the wall will the support post reach?
14 In right triangle ABC,
hypotenuse?
,
, and
. What is the length of the
Regents Exam Questions G.SRT.C.8: Using Trigonometry to Find a Side 1b
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1
2
3
4
ANS: 1
ANS: 4
ANS: 1
ANS:
21
REF: 010912ia
5 ANS:
18
REF: 011712geo
6 ANS:
60
REF: 061516ia
7 ANS:
15.9 ft
REF: 080724a
8 ANS:
13.5
REF: 061505geo
9 ANS:
15.6
REF: 010926a
REF: 018933siii
REF: 060419a
Regents Exam Questions G.SRT.C.8: Using Trigonometry to Find a Side 1b
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REF: 080914ia
10 ANS:
6.7
REF: 061108ia
11 ANS:
5.6
REF: 011707geo
12 ANS:
12.69
REF: 081126ia
13 ANS:
18.8
REF: 061611geo
14 ANS:
8
REF: 088725siii