Question

A ladder 17 m long reaches a window which is 8 above the ground on one side of a street keeping its foot at the same point , the ladder is turned to the other side of the street to reach a window 15m high. Find the with of the street.​

Answer 1

Answer:

Hence the width of the street is 33meters.

Answer 2

Here is your answer ❤

From the diagram

height of the ladder is 17m

Distance between ground and window is 8m

In triangle ABC

${ab}^{2} + {bc}^{2} = {ac}^{2} \\ {8}^{2} + {bc}^{2} = {17}^{2} \\ {bc}^{2} = 64 \\ bc = 8m$

From the second diagram

height of the ladder is 17m

Distance between ground and window is 15m

In triangle PQR

${pq}^{2} + {qr}^{2} = {pr}^{2} \\ {15}^{2} + {qr}^{2} = {17}^{2} \\ {qr}^{2} = 64 \\ qr = 8m$

Width of the street is 8m.

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