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

Question

3 years ago

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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?

Mathematics

1 answer:

zhuklara [117] · Answer 1 · 2022-03-03T09:22:54+03:00

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