Find the maximum area enclosed by a triangle of a perimeter 48 cm.
AB and CD are two parallel chards of a circle such that AB = 10 cm and CD = 24 cm, if the chords are on the opposite sides of the center and the distance between them is 17 cm.Find the radius of circle.
XY and YZ are two chords of a circle with center C. If L and M are mid-points of XY and ZY respectively, then the quadrilateral CMYL must be
A vertical tree stands on the cliff of a mountain of height 600 m. An observer from a plain observes the angle of elevation of the bottom and top of tree as 30 and 45respectively. Find the height of tree.
From the top of light house 80m, the angle of elevation and depression of a vertical tower is 300 and 600 respectively. Find the height of tower.
A bike is moving up hill with velocity 2 m/s.If the inclination of bike is 30 as compared to ground; find his effective uphill rate.
A sector of circle with radius r and angle 120 is joined from two ends to form a cone. Find the height of the cone in terms of r.
Four horses are tied by a rope of 10 m on four corners of a rectangular grass field of 80 × 150m2. If all four horses are allowed to graze the rectangular plot, find the area ungrazed by the horses.
