Estimating Heights and Distances with Angles of Elevation
Authored by Anthony Clark
English, Mathematics
8th Grade
CCSS covered
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10 questions
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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, estimate the height of the tree using a diagram.
8.66 meters
5 meters
10 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. Draw a diagram and calculate the distance from the building to the point on the ground.
30 meters
100 meters
50 meters
70 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 20 meters long, estimate the height of the kite above the ground using a diagram.
15 meters
10 meters
25 meters
17.32 meters
Tags
CCSS.HSG.SRT.C.8
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A person stands 30 meters away from a hill. If the angle of elevation to the top of the hill is 35 degrees, estimate the height of the hill. Include a diagram to support your answer.
15 meters
30 meters
10 meters
21 meters
Tags
CCSS.HSG.SRT.C.8
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
From the top of a lighthouse, the angle of elevation to a boat on the water is 25 degrees. If the lighthouse is 40 meters tall, estimate how far the boat is from the base of the lighthouse using a diagram.
Approximately 50 meters
Approximately 100 meters
Approximately 85.7 meters
Approximately 70 meters
Tags
CCSS.HSG.SRT.C.8
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A camera is mounted on a pole that is 10 meters tall. If the angle of elevation to a bird in the sky is 70 degrees, estimate the height of the bird above the ground. Use a diagram to visualize the problem.
Height of the bird = 10 + d * sin(70) meters
Height of the bird = 10 + d * tan(70) meters, where d is the horizontal distance from the pole to the bird.
Height of the bird = 10 - d * tan(70) meters
Height of the bird = 10 + d * cos(70) meters
Tags
CCSS.HSG.SRT.C.8
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A ramp is built to connect a loading dock that is 1.5 meters high. If the angle of elevation of the ramp is 20 degrees, estimate the length of the ramp. Draw a diagram to illustrate your calculations.
3.2 meters
5.0 meters
4.4 meters
6.1 meters
Tags
CCSS.HSG.SRT.C.8
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