JAMB Mathematics 2021 Objective — Question 11

Question 11 of 40 from the Joint Admissions and Matriculation Board (JAMB) Mathematics 2021 Objective paper, with the correct answer and a full explanation.

11. [See diagram] Determine the length of PS in the diagram above (a) 2√6cm (b) 4√6cm (c) 2√3cm (d) 8√6cm

• A. 2√6cm
• B. 4√6cmCorrect
• C. 2√3cm
• D. 8√6cm

Explanation

In ΔPQR, PR = 8sin60° = 4√3cm. In ΔSPR, cos45° = PR/PS, so PS = PR/cos45° = 4√3 × √2 = 4√6cm.

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