Question

founders park is planning to add a slide. the scaled model gives the reduced measures. the park has space for the base of the slide to be 7 feet wide. to keep the slide proportional to the model, what will the height of the slide be? the slide will have a height of feet.

Explanation:

Step1: Set up the proportion

Let the height of the slide be \( h \). The proportion is \(\frac{3.5}{3}=\frac{h}{7}\).

Step2: Cross - multiply

Cross - multiplying gives \(3h = 3.5\times7\).

Step3: Calculate the right - hand side

\(3.5\times7 = 24.5\), so the equation becomes \(3h=24.5\).

Step4: Solve for \( h \)

\(h=\frac{24.5}{3}=\frac{49}{6}\approx8.17\).

Answer:

\(\frac{49}{6}\approx8.17\)