Question

Solve for X. Please help me

Answer 1

1.)use the law of sines. 49/sin(115) 16/sin(x)
cross multiply
49sin(x)=16sin(115)
49sin(x)=14.5
sin(x)=.2959
x=sin-1(.2959)
x=17.2(approximately)

2.) use law of cosines a^2=c^2+b^2-2cbCosA
a^2=10^2+14^2-2(10)(14)Cos(44)
a^2=100+196-[280Cos(44)]
a^2=296-201
a^2=95
a=square root of 95
a=9.75(approximately)

Answer 2

number 11, use law of sine
sin115/49=sinx/16
sinx=(sin115*16)/49)
sinx=0.3087
use your calculator: x is about 18 degree

question 12
two sides and the angle between them are given, use law of consine:
x²=14²+10²-2*14*10cos44
x is about 9.7