A ladder just reaches a window that is 8 metres high above the ground on one side of the street. Keeping one end of the ladder at the same place, the ladder is moved to the other side of the street so as to reach a 12 metre high window. If the ladder is 13 metres long, what is the width of the street?
Explanation:
The length of the ladder is 13 metres.
Thus, for the cases given in the question, the height is given as 8 metres and 12 metres and the hypotenuse will be 13 metres for both cases.
Thus, by Pythagoras theorem, the width of the street = 5 + √105 = 15.2 metres
Hence, option (c).
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