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

In Fig. 6.54, O is a point in the interior of a triangleABC, OD ⊥ BC, OE ⊥ AC and OF ⊥ AB. Show that

(i)

(ii)

A ladder 10 m long reaches a window 8 m above theground. Find the distance of the foot of the ladder from base of the wall

An aeroplane leaves an airport and flies due north at a speed of 1000 km per hour. At thesame time, another aeroplane leaves the same airport and flies due west at a speed of1200 km per hour. How far apart will be the two planes afterhours?

Two poles of heights 6 m and 11 m stand on aplane ground. If the distance between the feetof the poles is 12 m, find the distance between their tops