Question

Candace wants to find the height of a local lighthouse. Since she knows something about similar triangles, she decides to stand in a location where the tip of her shadow and the tip of the lighthouse’s shadow meet (point C). She knows that she is 1.5 meters tall. Before moving into the shade of the lighthouse, she measured her shadow and found that it was 2.5 meters. The last measurement she took was the length of the lighthouse’s shadow. She found that it was 36 meters. What is the height of the lighthouse?

Answer 1

In short, let x be the height of the Light House
2.5/36 = 1.5/X

===> X= (36 x 1.5)/2.5 = 21.6 meters