Answer:
26.73 degrees
Explanation:
We can use the law of cosines to solve for angle A in triangle ABC:
cos(A) = (b^2 + c^2 - a^2) / (2bc)
where a, b, and c are the lengths of the sides opposite angles A, B, and C, respectively.
Plugging in the values we have:
cos(A) = (38^2 + 42^2 - 15^2) / (23842)
= 0.901
Taking the inverse cosine of both sides, we get:
A = cos^-1(0.901)
= 26.73 degrees (rounded to two decimal places)
Therefore, angle A has a measure of approximately 26.73 degrees.