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WAEC Mathematics 2024 Paper

Question : 33

Total: 50

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

Solution:

Concept:

Use Pythagoras theorem to find the unknown vertical part, then add the known lower height.

Explanation:

Let the extra vertical height above the

17

m mark be

x

The right-angled triangle has hypotenuse

20

m and horizontal base

19

By Pythagoras theorem:

x^2 + 19^2 = 20^2

x^2 = 20^2 - 19^2 = 400 - 361 = 39

x = \sqrt{39} \approx 6.245

From the diagram,

h = x + 17

h = 6.245 + 17 = 23.245

To the nearest whole number,

h \approx 23

Answer:

23

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