Question

Which of the following equations models the relationship of angle A to the length of the line segment BC in the figure below.

Answer 1

Let the line segment BD be x, then sin A = x/15
or, x = 15sinA
Also $y^{2} = x^{2} + (25)^{2} \\ = (15sinA)^{2} + 625 \\ =225 sin^{2} A+625 \\ y= \sqrt{225 sin^{2} A+625}$
The last option