Question

On a level field, a telephone pole 24 feet tall casts a shadow 6 feet long, and at the same time of day, another nearby telephone pole casts a shadow 18 feet long. How many feet tall is the second telephone pole?

A. 6
B. 12
C. 24
D. 36
E. 72

Answer 1

E. 72
6 feet long cast shadow = 24 feet pole
18 feet long cast shadow = 72 feet pole
18/6=3
24x3=72

Answer 2

The length of the second pole in the question will be 72 feets

Given the Parameters :

Pole 1 :

• Length = 24 feets
• Shadow = 6 feets

Pole 2 :

• Length = a
• Shadow = 18 feets

To obtain the length of the second pole, we set up a proportional relationship thus :

(Length 1 / shadow 1) = (length 2 / shadow 2)

(24 / 6) = (a / 18)

Cross multiply :

6a = 18 × 24

6a = 432

a = 432 / 6

a = 72

Therefore, the length of the second pole is 72 feets

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