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.

Answer 1

height of the lighthouse = 48 ft

Lighthouse is 4x higher than Zara

Step-by-step explanation:

Solve this as a similar triangles problem (geometry):

let h = height of the lighthouse

h/36 = 4/3

3h = 144

h = 144/3 = 48

proportionality factor = 4/3 = 48/36 = 1.33