Windows Hidden Feature

Features

A window is in the shape of a rectangle surmounted by a semi circle.If the perimeter of the window is of fixed length then the maximum area of the window is

Suppose,there are two windows in a house.A window of the house is at a height of 1.5 m above the ground and the other window is 3 m vertically above the lower window.Anil and Sanjeev are sitting inside the two windows,At an instant the angles of elevation of two balloon from these windows are observed at 45^@ and 30^@,respectively. 1. Find the height of the balloon from the ground. 2. Among sanjeev and anil,who is more closer to the balloon. 3. If balloon is moving towards the building, then will both the angle of elevation remain same?

A window is in the form of a rectangle surmounted by a semi-circle.If the total perimeter of the window is 30m, find the dimensions of the window so that maximum light is admitted.

A window is in the form of a rectangle surmounted by a semicircular opening.The total perimeter of the window is 10m. Find the dimensions of the window to admit maximum light through the whole opening.