Sohcahtoa Challenges: Sine & Cosine Word Problems
Authored by Anthony Clark
English, Mathematics
10th Grade
CCSS covered
Used 1+ times
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10 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A ladder is leaning against a wall. The foot of the ladder is 4 feet away from the wall, and the ladder makes a 60-degree angle with the ground. How tall is the top of the ladder on the wall?
3 feet
7 feet
5 feet
4√3 feet (approximately 6.93 feet)
Tags
CCSS.HSG.SRT.C.8
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A tree casts a shadow that is 10 meters long. 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
5.77 meters
3.5 meters
7.2 meters
Tags
CCSS.HSG.SRT.C.8
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A ramp is built to allow wheelchair access to a building. If the ramp is 12 feet long and makes a 45-degree angle with the ground, how high does the ramp reach at the building?
7√2 feet (approximately 9.90 feet)
5 feet
10 feet
6√2 feet (approximately 8.49 feet)
Tags
CCSS.HSG.SRT.C.8
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A kite is flying at a height of 15 meters. If the string makes a 30-degree angle with the ground, how long is the string?
20 meters
35 meters
25 meters
30 meters
Tags
CCSS.HSG.SRT.C.8
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A surveyor is standing 50 meters away from a building. If the angle of elevation to the top of the building is 40 degrees, how tall is the building?
42.75 meters
35 meters
55 meters
30 meters
Tags
CCSS.HSG.SRT.C.8
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A boat is anchored 20 meters from a dock. If the angle between the boat and the dock is 60 degrees, how far is the boat from the point directly across from the dock?
10 meters
5 meters
15 meters
25 meters
Tags
CCSS.HSG.SRT.C.8
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A flagpole casts a shadow of 8 meters long. If the angle of elevation from the tip of the shadow to the top of the flagpole is 45 degrees, how tall is the flagpole?
8 meters
10 meters
12 meters
6 meters
Tags
CCSS.HSG.SRT.C.8
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