Question

A kit is flying at a height of 75 metres from the ground level, attached to a string inclined at 60 to the horizontal. Find the length of the string to the nearest metre.

Answer 1

Let AC be the string of length, hm and C be the point, makes an angle of 60° and the kite is flying at the height of 75 m from the ground level.

In a triangle, ABC, given that height of kite is AB = 75 m and angle C = 60°

Now we have to find the length of the string.

So we use trigonometric ratios.

In a triangle ABC

`=> sin C = (AB)/(AC)`

`=> sin 60^@ = 75/h`

`=> sqrt3/2 = 75/h`

`=> h = 150/sqrt3`

Therefore h = 86.6

Hence length of string is 87 meters