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.

Explanation:

In a particular time ,

Shadow of an item is proportional to its height.

Equation of direct proportion:
`(x_1)/(y_1)=(x_2)/(y_2)`

Similarly,

`\frac{\text{height of truck}}{\text{shadow made by truck}}=\frac{\text{height of car}}{\text{shadow made by car}}\\\\\Rightarrow\ \frac{\text{height of truck}}{51.5}=(6.5)/(33.2)\\\\\Rightarrow\ \text{height of truck} = (6.5)/(33.2)*51.2\approx10.0\text{ ft}`

Hence, the truck is 10.0 ft tall.