Question

A boy is standing on the ground and flying a kite with 100 m of string at an elevation of 30°. Another boy is sanding on the roof of a 10 m high building and is flying his kite at an elevation of 45°. Both the boys are on opposite sides of both the kites. Find the length of the string that the second boy must have so that the two kites meet.

Answer 1

Let be the string of string m. let be the ground and a boy flying kite of m string at an elevation of.And another boy flying kite of 10 m high building at an angle of elevation.

Let,, , , andm. ,

Here we have to find length of string.

We use trigonometric ratios.

In ΔAFE,

Again in ΔABC,

Hence the length of string is.