Question

A 10ft tree casts a 4.5 ft shadow. How tall is a tree that casts a shadow at the same time of day? Hep please!

Answer 1

How long is the second shadow?

Answer 2

Sorry bout that..the second shadow is 27 ft long

Answer 3

Ok so since it is the same time of day, we can assume that the angle of the sun with respect to the ground is the same as well. So, we use the concept of similar triangles to solve this problem.

Answer 4

\[\frac{ 10 }{ 4.5 }=\frac{ x }{ 27 }\]
\[270=4.5x\]

Answer 5

So 60 ft?

Answer 6

Correct!