GEOMETRY AND TRIGONOMETRY - Jamb Mathematics Past Questions and Answers

Question 266:

• JAMB 1987

Three angles of a nonagon are equal and the sum of six other angles is 1110o. Calculate the size of one of the equal angles

A. 210^o
B. 150^o
C. 105^o
D. 50^o

Question 267:

• JAMB 1987

Two chords QR and NP of a circle intersect inside the circle at x. If RQP = 37o, RQN = 49o and QPN = 35o, find PRQ

A. 35^o
B. 37^o
C. 49^o
D. 59^o

Question 268:

• JAMB 1987

The sine, cosine and tangent of 210o are respectively

A. \(\frac{1}{2}\), \(\frac{\sqrt{3}}{2}\), \(\frac{\sqrt{3}}{2}\)
B. \(\frac{1}{2}\), \(\frac{\sqrt{3}}{2}\), \(\frac{\sqrt{3}}{3}\)
C. \(\frac{1}{2}\), \(\frac{\sqrt{3}}{2}\), \(\frac{\sqrt{3}}{2}\)
D. \(\frac{-1}{2}\), \(\frac{\sqrt{-3}}{2}\), \(\frac{\sqrt{3}}{3}\)

Question 269:

• JAMB 1987

From two points x and y, 8m apart, and in line with a pole, the angle of elevation of the top of the pole are 30^o and 60^o respectively. Fins the height of the pole assuming that x, y and the foot of the pole are the same horizontal plane and x and y are on the same side of the pole.

A. \(\sqrt{6}\)
B. 4\(\sqrt{3}\)
C. \(\sqrt{3}\)
D. \(\frac{12}{\sqrt{3}}\)

Question 270:

• JAMB 1987

A room is 12m long, 9m wide and 8m high. Find the cosine of the angle which a diagonal of the room makes with the floor of the room

A. \(\frac{5}{17}\)
B. \(\frac{8}{17}\)
C. \(\frac{8}{15}\)
D. \(\frac{12}{17}\)