The diagonal AC is drawn in the rectangle ABCD, the angle BAC is equal to 60 degrees AB

The diagonal AC is drawn in the rectangle ABCD, the angle BAC is equal to 60 degrees AB is equal to 10, find the length of the AC.

Consider a right-angled triangle ABC. In it, by condition, we know one leg AB = 10 and the angle BAC = 60 °.
The second acute angle BCA = 90 ° – angle BAC = 90 ° – 60 ° = 30 °.
It turns out that the AB leg is opposite an angle of 30 °. The property of such a leg states that it is equal to half of the hypotenuse. Let’s find the hypotenuse AC.
AC = 2 * AB = 2 * 10 = 20.
Answer: the length of the speaker is 20.