9514 1404 393
Answer:
a) 14√5 feet
b) about 31.3 feet
Explanation:
a) The 42-ft hose is the hypotenuse of a right triangle with one leg 28 ft. We are asked to find the other leg. The Pythagorean theorem is useful.
h² +(28 ft)² = (42 ft)²
h² = (1764 -784) ft² = 980 ft²
h = √(196·5) ft
h = 14√5 ft
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b) The approximate height is ...
14√5 ≈ 31.305, about 31.3 feet