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?
1 answer:
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
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I only know this because I remember the common fractions, and 1/3 is .3333 repeating.