Question

If a tree 41.8 feet tall casts a shadow that is 27 feet long, find the height of a tree casting a shadow that is 18.3 feet long round to the nearest tenth if nessary

Answer 1

28.3 feet

Explanation:

Given a tree 41.8 feet tall casts a shadow that is 27 feet long

So the Tangent of the angle of the sahdow remains the same for the both trees.

We know that
`Tanx=(height of the tree)/(length of the shadow)`

`(height of the tree1)/(length of the shadow1) = (height of the tree2)/(length of the shadow2)`

`(41.8)/(27) =(x)/(18.3)`

`x=(41.8)/(27)*18.3 =28.3`

Therefore the height of the tree is 28.3 feet