In the diagram, |QR| = 10m, |SR| = 8m o, o and |PS| = x, Find x

In the diagram, |QR| = 10m, |SR| = 8m o, o and |PS| = x, Find x

Correct Answer: Option C

Explanation

In right angled (bigtriangleup)QPR
tan 30^o = (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