Question

A person 100 meters from the base of a tree, observes that the angle between the ground and the top of the tree is 18 degrees. Estimate the height h of the tree to the nearest tenth of a meter.

Answer 1

in this question, we apply the trigonometric ratios to relate the known values which will help us determine the unknown values. for the question, consider the diagram below

 

in the diagram, we have the value of the base and the angle opposite to the height. the suitable trigonometric ratio is tan.

tan 18=h/100

h=100tan18

32.49M.

we express this to the nearest tenth of a meter 

h=32.5M

the height is 32.5M