Search SchoolNGR

Monday, 06 April 2026
Register . Login

In the diagram, |QR| = 10m, |SR| = 8m lt; QPS = 30o, lt; QRP = 90o and |PS| = x, Find x



In the diagram, |QR| = 10m, |SR| = 8m
< QPS = 30o, < QRP = 90o and |PS| = x, Find x
Take Free Practice Test On 2026 JAMB UTME, Post UTME, WAEC SSCE, GCE, NECO SSCE
  • A 1.32m
  • B 6.32m
  • C 9.32m
  • D 17.32
Correct Answer: Option C
Explanation:
In right angled \(\bigtriangleup\)QPR
tan 30o = \(\frac{10}{x + 8}\)
(x + 8) tan 30 = 10
x + 8 = \(\frac{10}{0.5773}\)
x +8 = 17.3
x = 17.3 - 8
x = 9.32

Share question on: