Question

Geometry Help!

Answer 1

@cwrw238

Answer 2

@mathmale

Answer 3

We have a triangle and some angles, so using trigonometry would be helpful.

If we consider the angle at B, the side b is opposite to it, and c is the hypotenuse.
The trig function that relates those two is the sine function, sin(x).

If we take the sine of 62°, it equals the opposite side, b, over the hypotenuse, c.

sin(62°) = b / c.

We need to solve for b, so we isolate it by multiplying both sides by c.

c * sin(62°) = b.

But we know c! It's given to be 24.

So, b = 24 * sin(62°).

One can use a calculator to evaluate it from here.

Answer 4

21.19 meaning the answer would be A!! Thank you so much!