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Find, correct to the nearest ​​​​​​whole number, the value of h in the diagram above.

Mathematics
WAEC 2024

Find, correct to the nearest ​​​​​​whole number, the value of h in the diagram above.

  • A. 15 m
  • B. 22 m
  • C. 23 m
  • D. 18 m
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Correct Answer: Option C
Explanation

From the diagram on the right-hand side above,

x\(^2\) = 20\(^2\) - 19\(^2\) = 39 ( from Pythagoras theorem)

x = \(\sqrt{39}\) = 6.245m

As can be seen from  the diagram on the right-hand side above,

h = x + 17 = 6.245 + 17 = 23.245 m ≈ 23 m(to the nearest whole number)


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