List of top Arithmetic and Mental Ability Questions on Trigonometry asked in KLEE

In a triangle ABC, the lengths of sides AB and BC are 18 cm and 40 cm respectively. If the angle between these two sides is 90 degrees, the area of the triangle is

Two small boats are sailing in the sea on the two sides of a big ship. The angle of elevation of the top of the big ship is observed from the boat are 30 degree and 45 degree. If the height of the big ship is 200 meters as measured from the surface of the sea, calculate the distance between two small boats?

An Air Traffic Controller is watching from the control tower a plane which was moving from the tower. The plane makes the angle of depression of 60 degree with ATC's eye when at the distance of 100 meters from the tower. After 20 seconds the angle of depression becomes 45 degree. Calculate the speed of the moving plane.

The height of the tree is 6\(\sqrt{3}\) meters. The length of its shadow is 6 meters. What is the angle of elevation of the sun?