Waec Mathematics 1999 Past Questions and Answers

Question 21:

• WAEC 1999

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 22:

• WAEC 1999

From the diagram above. ABC is a triangle inscribed in a circle center O. ∠ACB = 40^o 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 23:

• WAEC 1999

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. 040^o
B. 070^o
C. 110^o
D. 290^o

Question 24:

• WAEC 1999

A pole of length L leans against a vertical wall so that it makes an angle of 60^o 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 25:

• WAEC 1999

In the diagram, PQST and QRST are parallelograms. Calculate the area of the trapezium PRST.

A. 60cm²
B. 50cm²
C. 40cm²
D. 30cm²