Question

A post 8 feet tall casts a shadow 12 feet long at the same time that a flagpole casts a shadow 96 feet long, how tall is the flagpole

Answer 1

Answer:

64 ft

Step-by-step explanation:

The shadow of the post is 12 feet long. The shadow of the flagpole is 96 feet long.

The shadow of the flagpole is 8 times longer than the shadow of the post.

8 x 8 = 64

Answer 2

Answer:

64

Step-by-step explanation:

Use a proportion.

Use ratios of height to shadow length.

Let the height of the flagpole = x.

8 ft is to 12 ft as x is to 96 ft

8/12 = x/96

2/3 = x/96

3x = 2 × 96

x = 2 × 32

x = 64

Answer: 64