A post 4 feet tall casts a shadow 3.5 feet long. A tree at the same time of day casts a shadow 24.5 feet long. How tall is the tree?

Question

asked Apr 11, 2019 226k views

2 Answers

Posixpascal · Answer 1 · 2019-04-18T07:18:25+0000

Let us make a diagram for the given situation. Please see the attached image.

From the figure, using similar right triangles,

$(h)/(4) =(24.5)/(3.5) \\h =((24.5)/(3.5))4 \\h=28$

The height of tree is
$28\;feet$ .