Question

a lighthouse has a shadow that is 36 feet long. zara is 4 feet tall, and has a shadow that is 3 feet long. the two triangles formed are similar because the angle to the sun is the same. use this information to complete the statement about the lighthouse. the height of the lighthouse is feet.

Explanation:

Step1: Set up proportion

Let \( h \) be the height of the lighthouse. Since the triangles are similar, the ratios of corresponding sides are equal. So \(\frac{h}{36}=\frac{4}{3}\).

Step2: Solve for \( h \)

Multiply both sides by 36: \( h = \frac{4\times36}{3} \).
Calculate \( 4\times36 = 144 \), then \( \frac{144}{3}=48 \).

Answer:

48