world problem please help! Trigonometric Ratios and Special Angles
So this is basically the question
matt is flying his kite at the end of a 40 meters string. The string makes and angle of pi/4 with the ground. The wind speed increases, kite flies higher until the string makes an angle of pi/3 with the ground.
Determine an exact expression for the horizontal distance that the kite moves between the two positions.
So far I got this
Now im just subtracting these two and I got this
-----------=the diference but my books answer is 20 (√2-1)
I would like to know how the book got that answer, I think my answer just needs to be simplfy but I cant get the same answer. When i calulate both i get the same answer. Please help!! this is really bothering me!!!