Let the number of mango trees and the lichi trees in the orchard be 8x and 11x respectively. According to the question, Number of apple trees in the orchard = 8x + 0.5 × 8x = 12x Therefore, 8x + 11x + 12x = 93 Or, 31x = 93 Or, x = 3 Number of lichi trees in the orchard = 11x = 33
A Navy captain going away from a lighthouse at the speed of 4[(√3) – 1] m/s. He observes that it takes him 1 minute to change the angle of e...
From a watch tower of 150 m height, the angles of depression of two cliffs in a horizontal line through the base of the tower are 45° and 30°. Find th...
Now a chord of a circle is such that AB = 10 cm. If the diameter of the circle is 20 cm, then the angle subtended by the chord at the center is.
There is a fire in the building. A man on the top of the building see a Fire brigade van coming towards it. If it takes 8 minutes for the angle of depre...
A man whose height is 1.5 metres is standing 24√3 metres away from a light pole. The angle of elevation from his head to the top of the light pole...
At a point 20 metres away from the base of a 20√3, metres high house, the angle of elevation of the top is
Two men are on opposite sides of a tower of 75 m height. If they measure the elevation of the top of the tower as 30deg; and 45deg; respectively then th...
Find the area of maximum side of square that can be inscribed in a right angled triangle of side 15, 20 and 25 cm.
The shadow of a pole on ground level is increased by 24 m when the angle of depression of the sun changes from 60° to 30°. What is the height of...
The angle of depression of a point on the ground as seen from the top of a tower, 35 feet high, is 45°. Find the distance of the point on the ground fr...
