Answer: Angle A
========================================
Explanation:
x = length of segment BC
Use the pythagorean theorem to find that
a^2+b^2 = c^2
x^2+24^2 = 25^2
x^2+576 = 625
x^2 = 625-576
x^2 = 49
x = sqrt(49)
x = 7
Segment BC is 7 units.
-------------
The tangent of an angle is equal to the ratio of the opposite over adjacent.
In terms of an equation,
tan(angle) = opposite/adjacent
Replace "opposite/adjacent" with 7/24
tan(angle) = 7/24
Note how the 7 matches up with BC and the 24 matches up with BA
This means,
tan(angle) = 7/24 = BC/BA
If angle A is the reference angle, then BC is the opposite side and BA is the adjacent side.
-------------
tan(angle) = opposite/adjacent
tan(A) = BC/BA
tan(A) = 7/24
