katelynfish464
katelynfish464 katelynfish464
  • 08-12-2021
  • Mathematics
contestada

James is 5 ft. tall and casts a 6.5 ft. shadow. At the same time, a palm tree casts a 26 ft. shadow. How tall is the palm tree?

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jimthompson5910 jimthompson5910
  • 08-12-2021

Answer:  20 feet

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Work Shown:

(height)/(shadow length) = (height)/(shadow length)

(5 ft)/(6.5 ft) = (x ft)/(26 ft)

5/(6.5) = x/26

5*26 = 6.5*x

130 = 6.5x

6.5x = 130

x = 130/(6.5)

x = 20

The palm tree is 20 feet tall, which is the same height as a 2 story building (assuming each floor is 10 ft).

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