Applying Cosine: Real-Life Trigonometry Challenges
Authored by Anthony Clark
English, Mathematics
10th Grade
CCSS covered
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9 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A tree casts a shadow of 15 meters when the angle of elevation of the sun is 30 degrees. How tall is the tree?
5 meters
8.66 meters
10 meters
12 meters
Tags
CCSS.HSG.SRT.C.8
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A ladder leans against a wall, forming a 60-degree angle with the ground. If the base of the ladder is 4 meters from the wall, how long is the ladder?
6 meters
8 meters
12 meters
10 meters
Tags
CCSS.HSG.SRT.C.8
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A boat is anchored 10 meters from the shore. If the angle of elevation from the boat to the top of a lighthouse is 45 degrees, how tall is the lighthouse?
20 meters
15 meters
5 meters
10 meters
Tags
CCSS.HSG.SRT.C.8
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A surveyor is standing 50 meters from the base of a hill. If the angle of elevation to the top of the hill is 35 degrees, how tall is the hill?
35.01 meters
60 meters
45 meters
25.5 meters
Tags
CCSS.HSG.SRT.C.8
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A cable car is suspended from a point 20 meters above the ground. If the cable makes a 30-degree angle with the ground, how far is the cable car from the base of the pole?
30√3 meters
10 meters
20√3 meters
20 meters
Tags
CCSS.HSG.SRT.C.8
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A person is standing 30 meters away from a building. If they look up at a 60-degree angle to see the top of the building, how tall is the building?
40 meters
51.96 meters
25 meters
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 ramp makes a 45-degree angle with the ground, how long is the ramp?
2.121 meters
1.5 meters
2.0 meters
3.0 meters
Tags
CCSS.HSG.SRT.C.8
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