WAEC Further Mathematics 2023 Objective — Question 33

Question 33 of 40 from the West African Examinations Council (WAEC) Further Mathematics 2023 Objective paper, with the correct answer and a full explanation.

Find, correct to the nearest degree, the acute angle between 3x-y-5=0 and 7x-y-3=0.

A. 10 degCorrect
B. 11 deg
C. 24 deg
D. 27 deg

Explanation

From 3x-y-5=0, m1=3. From 7x-y-3=0, m2=7. Angle theta=arctan[(m2-m1)/(1+m1m2)]=arctan[4/22]=arctan(0.1818)=10.3, approximately 10 degrees.

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 Further Mathematics 2023 Objective More Further Mathematics past papers