Assuming that the triangle that we are given is a right triangle.
Given:
b = √7
c = √11
We can use the Pythagorean theorem to complete the dimensions of the triangle:
c^2 = b^2 + a^2
11 = 7 + a^2
a = 2
Angle A is opposite side a, therefore,
tan ( A ) = a / c
tan ( A ) = 2 / √11
tan ( A ) = 0.603
tan-1 ( 0.603 ) = A
∠ A = 31.09 degrees
Therefore, the measurement of angle A is 31.09 degrees.
