A tree is broken at a height of 5 m from the ground and its top touches the ground at a distance of 12 m from the base of the tree. Find the original height of the tree.

A 100 kg gun fires a ball of 1 kg horizontally from a cliff of height 500 m. It falls on the ground at a distance of 400 m from the bottom of the cliff. Find the recoil velocity of the gun. (acceleration due to gravity = 10 ms^-2 )

The angle of elevation of the top of a tower from a point on the ground, which is 30 m away from the foot of the tower, is 30^@ . Find the height of the tower.

The radius of the base of a right circular cone is 12 m. If the slant height of the cone is 15 m, find the height of the cone.

The radius of the base of a right circular cone is 12 m. If the slant height of the cone is 15 m, find the height of the cone.

A tree stands vertically on the bank of a river. From a point on the other bank directly opposite the tree, the angle of elevation of the top of the tree is 60^@ . From a point 20 m behind this point on the same bank, the angle of elevation of the top of the tree is 30^@ . Find the height of the tree and the width of the river.

A pole 5 m high is fixed on the top of a tower. The angle of elevation of the top of the pole observed from a point 'A' on the ground is 60^@ and the angle of depression of the point ‘A’ from the top of the tower is 45^@ . Find the height of the tower

A stone thrown horizontally falls on the ground after 0.5 second at a distance of 5m from where it was thrown. From what height was it thrown?

The angle of elevation of the top of a tower from a point O, on the ground, which is 600 m away from the foot of the tower, is 45^@ . Obtain the height of the tower.

A tower stands vertically on the ground. Front a point on the ground. which is 15 m away from the foot of the tower, the angle of elevation of the top of the tower is found to be 60^@ . Find the height of the tower.