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Jamb Mathematics 1987 Past Questions and Answers

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Jamb 1987 Mathematics Past Questions

Question 31:


If tan \(\theta\) = \(\frac{m^2 - n^2}{2mn}\) find sec\(\theta\)

A. \(\frac{m^2 + n^2}{(m^2 - n^2)}\)
B. \(\frac{m^2 + n^2}{2mn}\)
C. \(\frac{mn}{2(m^2 + n^2)}\)
D. \(\frac{m^2n^2}{2(m^2 - n^2)}\)


Question 32:


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 30o and 60o 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 33:


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. \(\frac{12}{17}\)


Question 34:


What is the circumference of latitude 0°S if R is the radius of the earth?

A. R cos\(\theta\)
B. 2\(\pi\) R cos \(\theta\)
C. R sin \(\theta\)
D. 2\(\pi\) R sin \(\theta\)


Question 35:


The base of a pyramid is a square of side 8cm. If its vertex is directly above the centre, find the height, given that the edge is 4.3cm

A. 6cm
B. 5cm
C. 4cm
D. 3cm






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