Question

The topmost branch of a tree is tied with a string attached to a pole in the ground. The length of this string Is 200m and it makes an angle of 45° with the ground. Find the distance of the pole to which the string is tied from the base of the tree. 

Answer 1

The topmost branch of the tree is at point B and C is the point on the ground to which the topmost branch is tied. 

In ΔABC,

`"AC"/"BC" = cos45^circ`

`h/200 = 1/sqrt(2)`

`h = 200/sqrt(2) = (200sqrt(2))/2 = 100sqrt(2) = 100 xx 1.414 = 141.4`

Thus , the required distance is 141.4 m.