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Jamb 1987 Mathematics Past QuestionsQuestion 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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