Question

eddie sees a antenna and a sailboat mast. the antenna is 30 meters tall and casts a shadow that is 16 meters long. what is the height of the sailboat mast if the sailboat masts shadow is 32 meters long? write your answer as a whole number or a decimal. do not round. meters

Explanation:

Step1: Set up proportion

Let \( h \) be the height of the sailboat mast. Since the ratio of height to shadow length is the same for both objects, we have \(\frac{30}{16}=\frac{h}{32}\).

Step2: Solve for \( h \)

Cross - multiply: \(16h = 30\times32\). Then \(h=\frac{30\times32}{16}\). Simplify \(\frac{30\times32}{16}=30\times2\).

Answer:

60