Question

a ladder 25cm long is placed so as to reach a window 20m high and on turning the ladder over to other side of the street it reaches at a point 24m high. find the breadth of the street.
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Answer 1

$\huge\underline\mathrm\pink{Answer}$

Find the horizontal width from the ladder to the window that is 24 m high:

a² + b² = c²

a² + 24² = 25²

a² = 25² - 24²

a² = 49

a = √49

a = 7 m

The width is 7 m

Find the horizontal width from the ladder to the window that is 7 m high:

a² + b² = c²

a² + 7² = 25²

a² = 25² - 7²

a² = 576

a = √576

a = 24 m

The width is 24 m

Find the total width:

Total width = 7 + 24 = 31 m

Answer: The width of the street is 31 m.