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A ladder 17 m long reaches a window 8 m high on one side of the road. the ladder is then turned over to the opposite side of the road and is found to reach another window 15 m high. Find the width of the road.Please apply the pythgoras property .

Sagot :

Mhanifaidn

Answer:

  • 23 m

Step-by-step explanation:

It is assumed the width of the street is the distance between the opposite buildings.

See the picture attached

It comprises of two parts:

  • x and y

Using Pythagorean theorem, lets find the value of x:

  • x² + 15² = 17²
  • x² = 289 - 225
  • x² = 64
  • x = 8 m

Same rule for y:

  • y² + 8² = 17²
  • y² = 289 - 64
  • y² = 225
  • y = 15 m

The width of the street (road) is:

  • 8 m + 15 m = 23 m
View image Mhanifa
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