#### Question

# Please help, Law of Sines and Cosines problem?

SInes: A-48 deg B-97 deg and b-12

Cosines: a-6 c-10 B 124 deg

Don't have scientific calculator, does anybody know where can u find sci calculator in the internet.

#### Answers

Google /*is*/ a scientific calculator. Type, say, "sin 30 degrees" (have to put "degrees" in the search engine because the default is radians), and you'll get "0.5".

sin A / a = sin B / b

sin 48 / a = sin 97 / 12

a = 12*sin 48 / sin 97

a = 8.98

C = 180 - A - B

= 180 - 48 - 97

= 35 degrees

sin C / c = sin B / b

sin 35 / c = sin 97 / 12

c = 12*sin 35 / sin 97

c = 6.93

Not SSA, so no ambiguous case.

b^2 = a^2 + c^2 - 2ac*cosB

b = sqrt(a^2 + c^2 - 2ac*cosB)

b = sqrt(6^2 + 10^2 - 2*6*10*cos124)

b = 14.25

sin A / a = sin B / b

sin A / 6 = sin 124 / 14.2514262

A = arcsin(6*sin 124 / 14.2514262)

A = 20.42 degrees

C = 180 - A - B

= 180 - 20.42 - 124

= 35.57 degrees

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http://www.calculateforfree.com/sci.html

this site provides you a free scientific calculator.....