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Vesna [10]
3 years ago
13

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 .
Mathematics
1 answer:
Mademuasel [1]3 years ago
5 0

Answer:

  • 23 m

Step-by-step explanation:

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

<em>See the picture attached</em>

<u>It comprises of two parts: </u>

  • x and y

<u>Using Pythagorean theorem, lets find the value of x:</u>

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

<u>Same rule for y:</u>

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

<u>The width of the street (road) is:</u>

  • 8 m + 15 m = 23 m

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