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The distance from a point on the ground to the base of a tree is 18 m.The distance from a point on the ground to the top of a tree is 20 m.Calculate the height of the tree.Give the answer correct to 1 decimal place.

Respuesta :

Answer:

Step-by-step explanation:

Please see attached image.

By Pythagoras' Theorem:

Height of tree

= [tex]\sqrt{20^{2} -18^{2}[/tex]

= [tex]\sqrt{400-324}[/tex]

= [tex]\sqrt{76}[/tex]

which is approx. 8.7 (meters) (1 decimal place)

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