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Trigonometry Challenge: Calculating Angles of Elevation

Authored by Anthony Clark

English, Mathematics

8th Grade

CCSS covered

Trigonometry Challenge: Calculating Angles of Elevation
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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A tree casts a shadow of 15 meters. If the angle of elevation from the tip of the shadow to the top of the tree is 30 degrees, how tall is the tree?

10 meters

8.66 meters

5 meters

12 meters

Tags

CCSS.HSG.SRT.C.8

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A building is 50 meters tall. From a point on the ground, the angle of elevation to the top of the building is 45 degrees. How far is the point from the base of the building?

70 meters

30 meters

100 meters

50 meters

Tags

CCSS.HSG.SRT.C.8

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A kite is flying at an angle of elevation of 60 degrees. If the string of the kite is 100 meters long, how high is the kite above the ground?

50 meters

86.6 meters

75 meters

100 meters

Tags

CCSS.HSG.SRT.C.8

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A ramp is built to connect a loading dock to a truck. If the ramp makes an angle of elevation of 20 degrees and the ramp is 10 meters long, how high does the ramp reach?

2.5 meters

3.42 meters

5.0 meters

4.8 meters

Tags

CCSS.HSG.SRT.C.8

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

From a lookout point, the angle of elevation to the top of a mountain is 35 degrees. If the lookout is 200 meters away from the base of the mountain, how tall is the mountain?

140.04 meters

200 meters

180 meters

100 meters

Tags

CCSS.HSG.SRT.C.8

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A person stands 30 meters away from a statue and measures the angle of elevation to the top of the statue as 40 degrees. How tall is the statue?

15.5 meters

35 meters

25.22 meters

20 meters

Tags

CCSS.HSG.SRT.C.8

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A ladder leans against a wall, forming an angle of elevation of 75 degrees with the ground. If the foot of the ladder is 5 meters away from the wall, how long is the ladder?

19.24 meters

15.00 meters

22.50 meters

18.00 meters

Tags

CCSS.HSG.SRT.C.8

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