Question

molly is designing a new drone for the air force. the drone is supposed to be 30 feet long and 4 feet tall. she is building a prototype for testing that will be 12 feet long. how tall should the prototype be?
10 feet
90 feet
1.6 feet
3.2 feet

Explanation:

Step1: Set up proportion

Let \( x \) be the height of the prototype. Since the ratio of length to height should be the same for the actual drone and the prototype, we have the proportion \(\frac{30}{4}=\frac{12}{x}\).

Step2: Cross - multiply

Cross - multiplying gives \(30x = 4\times12\).

Step3: Simplify the right - hand side

\(4\times12 = 48\), so the equation is \(30x=48\).

Step4: Solve for \(x\)

Divide both sides by 30: \(x=\frac{48}{30}\). Simplifying \(\frac{48}{30}=\frac{8}{5}=1.6\).

Answer:

C. 1.6 feet