Q1.

From the top of a 75-meter-high lighthouse, the angles of depression of two ships are 30° and 45°. If the two ships are on the same side of the lighthouse and in a straight line with its base, find the distance between the two ships. (Use √3 = 1.732)

Q2.

A pentagon is divided into three triangles by drawing diagonals from one of its vertices. The areas of two of these triangles are 24 cm2 and 30 cm2. The third triangle has a base of 12 cm and a height of 38 cm. What is the area (in cm2) of the pentagon?