2 Answers

Prathamesh Sonpatki · Answer 1 · 2020-02-25T20:40:52+0000

I'll assume that's C=17 degrees, a=10, c=11.

Law of sines says

$(a)/(\sin A) = (c)/(\sin C)$

$\sin A = (a)/(c) \sin C$

$\sin A = (10)/(11) \sin 17^\circ=0.265792$

$A = \arcsin 0.265792 = 15.414^\circ \textrm{ or }164.586^\circ$

We get supplementary angles for the inverse sine.

We can ignore the larger one because 164.5+17>180 so not a valid traingle.

$A= 15.414^\circ, \quad B = 180^\circ - A - C = 147.586^\circ$

$b = (c\sin B)/(\sin C)= (11 \sin 147.586^\circ)/(\sin 17^\circ) = 20.1674$

Rounding,

Answer: A=15.4°, B=147.6°, b=20.2

Please log in or register to add a comment.