A guy wire attached to a vertical pole of height 18 m is 24 m 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?

In an equilateral, , prove that .

is a right triangle right-angled at A and . Show that

(i) (ii)

(iii) (iv)

An aeroplane leaves an airport and files due north at a speed of 1000 km/hr. At the same time, another aeroplane leaves the same airport and files due west at a speed of 1200 km/hr. How far apart will be the two planes after hours?

Determine whether the triangle having sides (a – 1) cm, cm and (a + 1) cm is a right angled triangle.