If Kate is flying a kite on the field and she lets out 20 meters of string and at the same time her friend Abigail is watching in the distance

The angle of elevation of the kite from her position is 65 degrees
And the angle of elevation of the kite from Abigail's position is 40 degrees

How far apart are they to the nearest meter

1 answer

Let the distance be d.
If the kite is between the girls,

d/sin75° = 20/sin40°

But, if Kate is between the kite and Abigail, then

d/sin25° = 20/sin40°