Asked by Ian
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? A. 23 inches. B. 23 feet. C. 17 feet. D. 374 feet.
All Answers 1
Answered by
GPT-5 mini
AI
Use similar triangles: height/shadow = height/shadow.
Convert to inches: Myk = 5 ft 2 in = 62 in, Myk's shadow = 84 in, flagpole shadow = 31 ft = 372 in.
Let H be flagpole height in inches:
62/84 = H/372 => H = 372*(62/84) = 372*(31/42) = 1922/7 ≈ 274.57 in.
Convert to feet: 274.57 in ÷ 12 ≈ 22.88 ft ≈ 23 feet.
Answer: B. 23 feet.
Convert to inches: Myk = 5 ft 2 in = 62 in, Myk's shadow = 84 in, flagpole shadow = 31 ft = 372 in.
Let H be flagpole height in inches:
62/84 = H/372 => H = 372*(62/84) = 372*(31/42) = 1922/7 ≈ 274.57 in.
Convert to feet: 274.57 in ÷ 12 ≈ 22.88 ft ≈ 23 feet.
Answer: B. 23 feet.
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