Question

a homes height is 40 ft. and casts a shadow that is 12 ft. a car in the driveway is 10 ft. high. how long is the cars shadow?
x = 3 ft.
x = 120 ft.
x = 12 ft.
none of the above

Explanation:

Step1: Set up proportion

Let \( x \) be the car's shadow length. The ratio of height to shadow length should be equal for the home and the car. So, \(\frac{40}{12}=\frac{10}{x}\).

Step2: Cross - multiply

Cross - multiplying gives \( 40x = 12\times10 \).

Step3: Solve for \( x \)

Simplify the right - hand side: \( 40x=120 \). Then divide both sides by 40: \( x = \frac{120}{40}=3 \).

Answer:

x = 3 ft.