oliverairey2569 oliverairey2569
  • 11-03-2021
  • Mathematics
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What is the longest flagpole (in whole feet) that could be shipped in a box that measures 3 ft by 3 ft by 14 ft?

What is the longest flagpole in whole feet that could be shipped in a box that measures 3 ft by 3 ft by 14 ft class=

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abidemiokin
abidemiokin abidemiokin
  • 17-03-2021

Answer:

14feet

Step-by-step explanation:

The length of the longest flagpole is the length of diagonal r

Get s first using the pythagoras theorem;

s^2 = 14^2 - 3^2

s^2 = 196 - 9

s^2 = 187

s = √187

s = 13.67

Similarly

s^2 + 3^2 = r^2

Since s^2 = 187

187 + 9 = r^2

r^2 = 196

r = √196

r = 14ft

Hence the longest flagpole (in whole feet) that could be shipped in a box that measures 3 ft by 3 ft by 14 ft is 14feet

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