Real-World Pythagorean Problems
Authored by Caleb Stone
Mathematics
10th Grade
CCSS covered
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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 top of the ladder touches the wall at a height of 12 feet. If the ladder is 13 feet long, how far is the base of the ladder from the wall?
5 feet
6 feet
7 feet
8 feet
Tags
CCSS.8.G.B.8
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A rectangular park is 60 meters long and 80 meters wide. A diagonal path cuts across the park. What is the length of the diagonal path?
100 meters
90 meters
110 meters
120 meters
Tags
CCSS.8.G.B.8
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A tree is broken at a height of 8 meters from the ground and its top touches the ground at a distance of 6 meters from the base of the tree. What was the original height of the tree?
10 meters
12 meters
14 meters
15 meters
Tags
CCSS.8.G.B.8
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A kite is flying at a height of 30 meters above the ground. If the string attached to the kite is 50 meters long, what is the horizontal distance between the person holding the string and the point on the ground directly below the kite?
30 meters
40 meters
50 meters
60 meters
Tags
CCSS.8.G.B.8
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A swimming pool is in the shape of a right-angled triangle. The two shorter sides of the pool are 9 meters and 12 meters. What is the length of the hypotenuse?
15 meters
16 meters
18 meters
20 meters
Tags
CCSS.8.G.B.8
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A man wants to reach the top of a building that is 24 meters high using a ladder. If he places the ladder 7 meters away from the base of the building, how long should the ladder be?
25 meters
26 meters
27 meters
28 meters
Tags
CCSS.8.G.B.8
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A rectangular garden has a length of 15 meters and a width of 20 meters. A diagonal walkway is constructed across the garden. What is the length of the walkway?
25 meters
30 meters
35 meters
40 meters
Tags
CCSS.8.G.B.8
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