two poles 30m and 25m high stand upright in a playground. if the poles are 20m apart, find the distance between their topmost points
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Here is your answer -----
As seen in the above diagram, the distance between top points = AB
∆ABC = Right-angled Triangle right angled at C.
By the Pythagoras Theorem,
=> (AB)^2 = (AC)^2 + (BC)^2
=> x^2 = (15)^2 + (20)^2
=> x^2 = 225 + 400
=> x^2 = 625
=> x = √(625)
=> x = √(5 × 5 × 5 × 5)
=> x = 5 × 5
=> x = 25
AB = x = 25 m
Hence the distance between their top points is 25 meters.
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