SOLUTION: Given: A={{{ 68 }}} a= ? B= ? b= {{{ 8 }}} C= ? c={{{ 5 }}} What is the value of B? A.) {{{ 69.91 }}} B.) {{{ 74.98 }}} C.) {{{ 76.44 }}} D.) {{{ 77.39 }}}

Algebra ->  Test -> SOLUTION: Given: A={{{ 68 }}} a= ? B= ? b= {{{ 8 }}} C= ? c={{{ 5 }}} What is the value of B? A.) {{{ 69.91 }}} B.) {{{ 74.98 }}} C.) {{{ 76.44 }}} D.) {{{ 77.39 }}}       Log On


   



Question 1068726: Given:
A=+68+ a= ?
B= ? b= +8+
C= ? c=+5+
What is the value of B?
A.) +69.91+
B.) +74.98+
C.) +76.44+
D.) +77.39+

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
a^2=b^2+c^2-2bc cos A
=64+25-2(40) cos 48; the last term is 29.97
a=7.68
sin 68/7.68=sin B/8
sin B=8 sin 68/7.68
=0.9658
arc sin of that =74.98 degrees
B