A zip line runs from the top of a platform on the edge of a pond to the ground across the pond. A camp counselor places a mirror

Question

3 years ago

7

A zip line runs from the top of a platform on the edge of a pond to the ground across the pond. A camp counselor places a mirror

on the edge of the pond across from the platform and stands back until the top of the platform is visible in the mirror. Use similar triangles to find the height of the platform.

Mathematics

1 answer:

tigry1 [53] · Answer 1 · 2022-07-28T09:57:07+03:00

Answer:

150 ft

Step-by-step explanation:

The diagram shown gives us a picture of two similar right triangle.

The height of the man is similar to the height of the platform.

To find the height of the platform, multiply the height of the man by the scale factor.

Scale factor = the ratio of any corresponding sides of two similar triangles.

Scale factor = 100 ft ÷ 4 ft = 25

Height of man = 6ft

Therefore, height of platform = 6 ft × 25 = 150 ft