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WorksheetsReal-World Applications of the Pythagorean Theorem
Total questions: 9
Worksheet time: 5mins
A ladder is leaning against a wall. The foot of the ladder is 6 feet away from the wall, and the ladder reaches a height of 8 feet. How long is the ladder?
10 feet
12 feet
8 feet
14 feet
A triangular park has one angle measuring 90 degrees. If one leg of the triangle is 5 meters and the other leg is 12 meters, what is the length of the hypotenuse?
10 meters
8 meters
13 meters
15 meters
A right triangle is formed by a ramp leading to a loading dock. If the ramp is 10 feet long and rises 6 feet, how far is the base of the ramp from the wall?
12 feet
5 feet
10 feet
8 feet
A kite is flying at a height of 15 meters. If the string makes a 60-degree angle with the ground, how far is the kite from the person holding the string?
15√2 meters
10√3 meters
20 meters
5 meters
A 45-45-90 triangle is formed by a square garden. If each side of the garden is 10 meters, what is the length of the diagonal?
7.07 meters
14.14 meters
10 meters
20 meters
A right triangle is formed by a ramp that is 8 feet long and rises to a height of 6 feet. What is the horizontal distance from the base of the ramp to the wall?
2√7 feet
4 feet
6 feet
10 feet
A 30-60-90 triangle is formed by a roof. If the shorter leg is 4 feet, what is the length of the longer leg?
8 feet
4 feet
2√3 feet
4√3 feet
A right triangle has one leg measuring 9 inches and the hypotenuse measuring 15 inches. What is the length of the other leg?
12 inches
8 inches
14 inches
10 inches
A right triangle is formed by a flagpole and the ground. If the flagpole is 12 feet tall and the distance from the base of the flagpole to the point where the shadow ends is 9 feet, how long is the shadow?
8 feet
15 feet
10 feet
9 feet
