WAEC - Mathematics (2024 - No. 33)

Find, correct to the nearest whole number, the value of h in the diagram above.
15 m
22 m
23 m
18 m
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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