Mathematics Past Questions and Answers

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

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 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

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

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