Question

If a 5 ft tall man cast an 8 ft long shadow at the same time a tree cast a 24 ft long shadow, how tall is the tree?

Answer 1

Answer:

15 feet

Step-by-step explanation:

We have 2 similar right triangles with legs height and length of shadows.

height of men : length of shadows of the man = height of tree : length of shadows of the tree

5 : 8 = x : 24

8x = 5* 24

x = 5*24/8 = 15 (feet)

Answer 2

Answer:

15ft

Step-by-step explanation:

5 ft  is to 8 ft

A ft is to  24 ft

A = 24*5/8

A = 15ft

15ft