Free account: track your progress — Sign up free

Post-UTME Mathematics 2013 Objective — Question 31

Question 31 of 100 from the Post-UTME Screening (Post-UTME) Mathematics 2013 Objective paper, with the correct answer and a full explanation.

QRS is a triangle with QS=12m, ∠RQS=30° and ∠QRS=45°. Calculate the length of RS.

A. 18√2m
B. 12√2m
C. 6√2mCorrect
D. 3√2m

Explanation

By the sine rule: RS/sin30° = QS/sin45°, giving RS = 12×0.5/0.7071 = 6√2m.

Sign up free to unlock

Score tracking
Practice history
Saved questions
Progress dashboard
Personalized sessions
Weak-topic breakdown

…and/or go further with premium services and No Ads.

Create free account

More questions from Mathematics 2013 Objective More Mathematics past papers