Answer:
cos M = 38 / 63
Explanation:
SOH - CAH - TOA
is how I remember the calculations,
S - sin
C - cos
T - tan
(o = opposite side ; a = adjacent side ; h = hypotenuse)
SOH would be sin = opposite/hypotenuse
CAH means cos = adjacent / hypotenuse
Okay, so looking at the angle M, we know the hypotenuse [63] and the adjacent value [38]
From this, (only having H and A), we can only find the cos of M
(without finding additional numbers, which we could do with the Pythagorean theorem)
So, the cos of M is adjacent/hypotenuse
cos M = 38 / 63
(I didn't try to find other measurements of the triangle here because the most simple measurements [that were already there] worked/was an option)