You want to erect a pole of height 10 m with the support of three ropes. Each rope has to make an angle `30^(@)` with the pole. What should be the length of the rope?

A contractor wants to set up a slide for the children to play in the park. He wants to set it up at the height of 2 m and by making an angle of 30^(@) with the ground. What should be the length of the slide?

The top of a 15m high tower make an angle of elevation of 60^(@) with the bottom of an electronic pole and angle of elevation of 30^(@) with the top of the pole. What is the height of the electric pole?

An electrician wants to repair an electric connection on a pole of height 9 m. He needs to reach 1.8 m below the top of the pole to do repair work. What should be the length of the ladder which he should use, when he climbs it at an angle of 60^(@) with the ground? What will be the distance between foot of the ladder and foot of the pole?

The tops of two poles of height 20 m and 14 m are connected by a wire. If the wire makes an angle of 30o with horizontal, then the length of the wire is (a) 12 m (b) 10 m (c) 8 m (d) 6 m

A wire attached to a vertical pole of height 18m is 24m long and has a stake attached to the other end. How far from the base of the pole should the stake be driven so that the wire will be taut?

The length of the shadow of a vertical pole of height h , thrown by the suns rays at three different moments are h ,2ha n d3h . Find the sum of the angles of elevation of the rays at these three moments.

A earth's magnetic field at geomagnetic poles has a magnitude 6.2 xx 10^(-5) T . Find the magnitude and the direction of the field at a point on the earth's surface where the radius makes an angle of 135^@ with the axis of the earth's assumed magnetic dipole. What is the inclination (dip) at this point?

A pendulum bob has a speed 3m/s while passing through its lowest position. What is its speed when it makes an angle of 60^0 with the vertical? The length of the pendulum is 0.5m Take g=10 m/s^2 .