Waec Mathematics Past Questions
Question 1666
A pole of length L leans against a vertical wall so that it makes an angle of 60o with the horizontal ground. If the top of the pole is 8m above the ground, calculate L.
- A. \(16\sqrt{3}m\)
- B. \(4\sqrt{3}m\)
- C. \(\frac{\sqrt{3}}{16}\)
- D. \(\frac{16\sqrt{3}}{3}\)
Question 1667
The diagram shows the position of three ships A, B and C at sea. B is due north of C such that |AB| = |BC| and the bearing of B from A = 040°. What is the bearing of A from C
- A. 040o
- B. 070o
- C. 110o
- D. 290o
Question 1668
From the diagram above. ABC is a triangle inscribed in a circle center O. ∠ACB = 40o and |AB| = x cm. calculate the radius of the circle.
- A. \(\frac{x}{sin 40^o}\)
- B. \(\frac{x}{cos 40^o}\)
- C. \(\frac{x}{2 sin 40^o}\)
- D. \(\frac{x}{2 cos 40^o}\)
Question 1669
From the top of a cliff 20m high, a boat can be sighted at sea 75m from the foot of the cliff. Calculate the angle of depression of the boat from the top of the cliff
- A. 14.9 o
- B. 15.5 o
- C. 74.5 o
- D. 75.1 o
Question 1670
The height and base of a triangle are in ratio 1:3 respectively. If the area of the triangle is 216 cm\(^2\), find the length of the base.
- A. 24cm
- B. 36cm
- C. 72cm
- D. 144cm
