From a tower on a straight road, the angles of depression of two cars at an instant are 30° and 60°. If the cars are 50 m apart, find the height of the tower.
From a point PP outside a circle with center OO, tangents PAPA and PBPB are drawn to the circle. The line segment formed by joining the points AA and BB intersect the line segment OPOP at MM. What is the measure of ∠AMP∠AMP ?
Mongkut made a bird-bath for his garden in the shape of a cylinder with a hemispherical depression at one end. If the height of the cylinder is 166 cm and its radius is 73 cm. Choose the correct total surface area of the bird-bath. (Take π = 22/7)