In the diagram, |QR| = 10m, |SR| = 8m < QPS = 30o, < QRP...

Mathematics WAEC 2012

In the diagram, |QR| = 10m, |SR| = 8m

< QPS = 30o, < QRP = 90o and |PS| = x, Find x

  • 1.32m
  • 6.32m
  • 9.32m checkmark
  • 17.32

The correct answer is: 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
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