Question

Myk is 5 feet and 2 inches tall, and their shadow is 84 inches tall. The flagpole next to them has a shadow that is 31 feet long. Myk uses similar triangles to find the height of the flagpole. Can you calculate the height of the flagpole to the nearest foot?(1 point)
Responses

17 feet
17 feet

23 feet
23 feet

374 feet
374 feet

23 inches
23 inches

Answer 1

First convert to the same units. Myk is 5 ft 2 in = 62 in; Myk's shadow = 84 in. Flagpole shadow = 31 ft = 372 in.

By similar triangles:
flagpole height = 372 * 62 / 84 = 23064/84 ≈ 274.57 in ≈ 274.57/12 ≈ 22.88 ft.

Rounded to the nearest foot: 23 feet.