A 39-foot piece of string (hypotenuse) is stretched from the top of a 18-foot flagpole to the ground. How far is the base of the

Question

3 years ago

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A 39-foot piece of string (hypotenuse) is stretched from the top of a 18-foot flagpole to the ground. How far is the base of the

flagpole from the end of the piece of string? Round your answer to the nearest tenth ( decimal places). (Hint: Draw a picture on your own paper to visualize the problem)

Mathematics

1 answer:

ivann1987 [24] · Answer 1 · 2022-10-21T04:13:19+03:00

9514 1404 393

Answer:

34.6 ft

Step-by-step explanation:

The distance can be found using the Pythagorean theorem. Where a, b, c are the sides of a right triangle with c as the hypotenuse, it tells you ...

a² + b² = c²

a = √(c² -b²)

base-to-string = √(39² -18²) = √1197 ≈ 34.598

The distance from the base of the pole to the end of the string is about 34.6 feet.