A rope with a length of 10m is stretched from the top of a pole 3m high until it reaches ground level. How far is the end of the line from the base of the pole (Pythagorean Theorem) (Full Solution Pls)
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Answer:
x=9.54
Step-by-step explanation:
Let x be the distance from the base of the pole to the end of the rope. Then, we can write:
x^2 + 3^2 = 10^2
Simplifying this equation, we get:
x^2 + 9 = 100
Subtracting 9 from both sides, we get:
x^2 = 91
Taking the square root of both sides, we get:
x = sqrt(91) ≈ 9.54
Therefore, the end of the rope is approximately 9.54 meters from the base of the pole.