Question

1. A football goal post casts a shadow 120 inches long. You are 5 feet 6 inches tall and cast a shadow 16.5 inches long. Find the height of the goal post in feet. Round your answer to the nearest whole number.

Answer 1

40 feets

Explanation:

Given that :

Person's height = 5feet 6 inches ;

Person's height in inches ;

1 foot = 12 inches ;

5 feets = (12 * 5) = 60 inches

Person's height = 60 + 6 = 66 inches

Height of person's shadow = 16.5 inches

Height of post shadow = 120 inches

Height of goal post = x

(Height of goal post / height of post shadow) = (person's height / person's shadow)

x / 120 = 66 / 16.5

Cross multiply :

16.5x = 120 * 66

16.5x = 7920

x = 7920 / 16.5

x = 480 inches

To feets ;

1 foot = 12 inches

480 inches = 480/12 feets = 40 feets