A 17 m long ladder reaches a window 15 m above the ground on one side of a street. Keeping the foot fixed, the ladder is turned to reach a window 8 m high on the opposite side. Find the width of the street, in metres.

Question

Accepted Answer

23. On side 1: base = √17^2 - 15^2 = √289 - 225 = √64 = 8 m. On side 2: base = √17^2 - 8^2 = √289 - 64 = √225 = 15 m. Street width = 8 + 15 = 23 m.

A 17 m long ladder reaches a window 15 m above the ground on one side of a street.
Keeping the foot fixed, the ladder is turned to reach a window 8 m high on the opposite side.
Find the width of the street, in metres.

Step-by-Step Solution

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More Class 10 Pythagoras Theorem practice

A 17 m long ladder reaches a window 15 m above the ground on one side of a street.Keeping the foot fixed, the ladder is turned to reach a window 8 m high on the opposite side.Find the width of the street, in metres.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Pythagoras Theorem practice

A 17 m long ladder reaches a window 15 m above the ground on one side of a street.
Keeping the foot fixed, the ladder is turned to reach a window 8 m high on the opposite side.
Find the width of the street, in metres.