Question

Can someone please please help me on this geometry question??
In the triangle below, determine the value of a.

Answer 1

So, if a triangle has a right angle (90 degrees) and an angle that is 43 degrees, the the last angle must be 180-133, which is 47 degrees.

So,
\[\frac{ \sin(43) }{ 1 } = \frac{ a }{ 6 }\]

Cross multiply, a=6(sin(43))
a=4.09199016036
Which I think it would be safe to say that a is equal to 4.09.