Question

A six-foot-tall person walks from the base of a broadcasting tower directly toward the tip of the shadow cast by the tower. When the person is 132 feet from the tower and 3 feet from the tip of the shadow, the person’s shadow starts to appear beyond the tower’s shadow. What is the height of the tower?

Answer 1

Answer:

270 feet

Step-by-step explanation:

For clarity, the image below represents the problem. Let's call h the height of the tower. Notice that it forms 2 triangles that are similar to side-angle-side. So, we can calculate the higher of the tower by similar triangles:

higher1/base1 = higher2/base2

h/135 = 6/3

h/135 = 2

h = 270 ft