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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

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 class=

Sagot :

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:

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