Question

a 15 - foot tall tree is next to a slide. the tree is casting a shadow of 22.5 feet and the slide is casting a shadow that is 10.5 feet. how tall is the slide? f 7 ft g 15 ft h 25 ft j 33 ft

Explanation:

Step1: Set up proportion

Let the height of the slide be \(x\). Since the ratio of object height to shadow length is the same, we have \(\frac{15}{22.5}=\frac{x}{10.5}\).

Step2: Cross - multiply

Cross - multiplying gives \(22.5x = 15\times10.5\).

Step3: Solve for \(x\)

First, calculate \(15\times10.5 = 157.5\). Then \(x=\frac{157.5}{22.5}=7\).

Answer:

F. \(7\) ft