Question

A 6.5 ft. Tall car, parked next to a truck, casts a 33.2 ft. Shadow. If the truck casts a shadow that is 51.5 ft. Long then how tall is the truck? Round to the nearest tenth.

Answer 1

Answer: The truck is 10.0 ft tall.

Step-by-step explanation:

In a particular time ,

Shadow of an item is proportional to its height.

Equation of direct proportion: $\dfrac{x_1}{y_1}=\dfrac{x_2}{y_2}$

Similarly,

$\dfrac{\text{height of truck}}{\text{shadow made by truck}}=\dfrac{\text{height of car}}{\text{shadow made by car}}\\\\\Rightarrow\ \dfrac{\text{height of truck}}{51.5}=\dfrac{6.5}{33.2}\\\\\Rightarrow\ \text{height of truck} = \dfrac{6.5}{33.2}\times51.2\approx10.0\text{ ft}$

Hence, the truck is 10.0 ft tall.