Question

A globe that is 3 ft tall casts a shadow that is 7 ft long. Find the height of a car that casts a 14 ft shadow.

a) 6 ft
b) 12 ft
c) 10.5 ft
d) 14 ft

Answer 1

The height of the car that casts a 14 ft shadow is 6 ft.

Step-by-step explanation:

To find the height of a car that casts a 14 ft shadow, we can set up a proportion based on the height-shadow relationship:

Height of car / Length of car's shadow = Height of globe / Length of globe's shadow

Let x be the height of the car. The proportion becomes:

x / 14 = 3 / 7

Cross-multiplying gives us:

7x = 3 * 14

7x = 42

x = 42 / 7

x = 6

Therefore, the height of the car is 6 ft.