Question

A lifeguard is standing beside the lifeguard chair on a beach.The lifeguard is 76 inches tall and casts a shadow that is 48 inches long.The chair casts a shadow that is 72 inches long.How y'all is the lifeguard chair?

Answer 1

Answer:

x = 114 inches

Step-by-step explanation:

The ratio of height to shadow length will be identical

x/72 = 76/48

x = 76(72)/48 114 inches

Answer 2

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Answer:

  114 inches, or 9 ft 6 inches

Step-by-step explanation:

The chair's shadow is 72/48 = 1.5 times as long as the lifeguard's shadow. Since shadow length is presumed proportional to height, we expect the lifeguard chair to be 1.5 times as tall as the lifeguard.

  1.5(76 in) = 114 in = 9 ft 6 in . . . height of lifeguard chair