GEOMETRY AND TRIGONOMETRY - Jamb Mathematics Past Questions and Answers

Question 136:

• JAMB 1979

An arc of circle of radius 2cm subtends an angle of 60^o at the centre. Find the area of the sector

A. \(\frac{2 \pi}{3}\)cm²
B. \(\frac{\pi}{2}\)cm²
C. \(\frac{\pi}{3}\)cm²
D. \(\pi\)cm²

Question 137:

• JAMB 1979

What is the greatest straight line distance between two vertices (corners) of a cube whose sides are 2239cm long?

A. \(\sqrt{2239cm}\)
B. \(\sqrt{2}\) x 2239cm
C. \(\frac{\sqrt{3}}{2}\) 2239cm
D. \(\sqrt{3}\) x 2239cm
E. 4478cm

Question 138:

• JAMB 1979

A man is standing in the corridor of a 10-storey building and looking down at a tall tree in front of the building. He sees the top of the tree at angle of depression of 30^o. If the tree is 200m tall and the man's eyes are 300m above the ground, calculate the angle of depression of the foot tree as seen by the man

A. 30^o
B. 60^o
C. 45^o
D. 25^o

Question 139:

• JAMB 1979

In the figure, \(\bigtriangleup\) ABC are in adjacent planes. AB = AC = 5cm, BC = 6cm and o then AE is equal to

A. 3\(\sqrt{2}\)
B. 2\(\sqrt{3}\)
C. \(\frac{\sqrt{3}}{2}\)
D. \(\frac{2}{\sqrt{3}}\)

Question 140:

• JAMB 1979

In this figure, PQRS is a parallelogram, PS = PT and < PST = 55\(^o\). The size of <PQR is

A. 125^o
B. 120^o
C. 115^o
D. 110^o
E. 10^o