Question

How high is a tree that cast a 24ft shadow at the same time a 6 ft pole casts a shadow which is 6 ft long?

Answer 1

what do you think?

Answer 2

?

Answer 3

(think "similar triangles")

Answer 4

Don't overthink the problem

Answer 5

If it helps you can think of the slope (rise over run) of the triangles...it will be the same for both since the angles are equivalent:\[\frac{6}{6}=\frac{x}{24}\]