Question

A 4ft pole casts a shadow 6ft long. At the same time a wall casts a shadow 18ft. long. How tall is the wall?

Answer 1

12ft

Explanation:

Since a 4ft pole casts a 6ft long shadow that means for every 2ft of height the shadow is 3ft. Now the shadow is 18ft long so you do 18 / 3 = 6. To find the walls height you do 6 * 2 = 24.

Answer 2

12 ft

Explanation:

Write and solve an equation of ratios:

6 ft 4 ft

-------- = --------

18 ft w

Cross multiplying, we get: 6w = 72 ft^2, so w = 12 ft