JSCE Mathematics 2024 Objective — Question 12

Question 12 of 80 from the Junior Secondary Certificate Examination (JSCE) Mathematics 2024 Objective paper, with the correct answer and a full explanation.

Below is a diagram of a pool ABCD with sides and angle given. Calculate the side AD of the pool correct to 3 d.p. (Take;tan 30° = 0.5774, Cos 30° = 0.8660, Sin 30° = 0.5000)

A. 11.512cm
B. 12.210cm
C. 14.912cm
D. 18.928cmCorrect

Explanation

Height = 8 sin 30° = 4. Projection of CD = 8 cos 30° = 6.928. Projection of AB = √(25 - 16) = 3. AD = 3 + 9 + 6.928 = 18.928cm.

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