# Math Help - Did I do this correctly?

1. ## Did I do this correctly?

Multiple choice question
Find the measure of angle B for the triangle with the following dimensions. A = 45° , a = 60.5 , b = 90
a. 92.82°
b. 79.39°
c. 96.32°
d. 85.33°

sin A/a = sin B/b
sin 45/60.5= sinB/90
90(sin 45/60.5)= sin B
sin B= 90(sin 45/60.5)
$B= sin^{-1}(90*(sin (45°)/60.5))$
I Plug into calculator and I ger domain error.

2. Originally Posted by yoman360
Multiple choice question
Find the measure of angle B for the triangle with the following dimensions. A = 45° , a = 60.5 , b = 90
a. 92.82°
b. 79.39°
c. 96.32°
d. 85.33°

sin A/a = sin B/b
sin 45/60.5= sinB/90
90(sin 45/60.5)= sin B
sin B= 90(sin 45/60.5)
$B= sin^{-1}(90*(sin (45°)/60.5))$
I Plug into calculator and I ger domain error.
given those dimensions, no triangle is possible. the following condition must be true for the ambiguous case (SSA) to yield a triangle.

$a \ge b\sin{A}$

recheck the given values.

3. What should i do then put on my paper that it is undefined or something?

4. Originally Posted by yoman360
What should i do then put on my paper that it is undefined or something?
no triangle solution is possible