MissSusan8534 MissSusan8534
  • 24-03-2021
  • Mathematics
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A bird was sitting 8 metres from the base of an oak tree. It flew about 17 metres to reach the top of the tree. How tall is the tree?

Respuesta :

eudora eudora
  • 25-03-2021

Answer:

Height of the tree = 15 meters

Step-by-step explanation:

A bird is sitting at a distance of 8 meters (at point C) from the tree.

It covered distance AC = 17 meters to reach at the top of the tree at point A

By applying Pythagoras theorem in the given triangle,

Hypotenuse² = (leg 1)² + (leg 2)²

AC² = AB² + BC²

(17)² = AB² + 8²

AB² = 289 - 64

AB = √225

AB = 15 meters

Therefore, height of the tree = 15 meters

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