A man pulls a rope tied to a flagpole at ground level. The rope is 20 meters long and makes an angle of 60° with the ground. How high up the flagpole is the point where the rope is tied? Also, find the horizontal distance between the man and the base of the flagpole. (Take √3 = 1.732)

Two persons are on diametrically opposite sides of a tower. They measure the angles of elevation of the top of the tower as 30° and 60° respectively. If the height of the tower is 100 m, what is the approximate distance between the two persons?

At a point on level ground, the tangent of the angle of elevation of the top of a tower is found to be 56. On walking 70 m towards the tower, the tangent of the angle of elevation of the top of the tower is found to be 98. What is the height of the tower?