500
In a right triangle an angle of pi divided by 6 is given, as is the length of the adjacent side, this is the simplified length of the hypotenuse...
cos (pi/6) = 3/x
1/cos (pi/6) = x/3
3*1/cos (pi/6) = x/3 * 3
3/cos (pi/6) = x
You know the cos (pi/6) = root 3 divided by two
3/(root 3 divided by 2) = x
Multiply by the reciprical...
3 * 2 / root 3 = x
6 / root 3 (can't have a radical in the denominator need to multiply by root 3 divided by root 3)
(6 * root 3) / 3 = x This can be simplified
WHAT IS 2 root 3 = x?