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

Answer:

28.3 feet

Step-by-step 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  $Tanx=\frac{height of the tree}{length of the shadow}$

$\frac{height of the tree1}{length of the shadow1} = \frac{height of the tree2}{length of the shadow2}$

$\frac{41.8}{27} =\frac{x}{18.3}$

$x=\frac{41.8}{27}\times18.3 =28.3$

Therefore the height of the tree is 28.3 feet