Question

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.

Answer 1

Answer:

Step-by-step explanation:

Please see attached image.

By Pythagoras' Theorem:

Height of tree

= $\sqrt{20^{2} -18^{2}$

= $\sqrt{400-324}$

= $\sqrt{76}$

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