Question

A. 85.33º
B. 96.32º
C. 79.39º
D. 92.82º

Answer 1

you need the law of cosines for this one

Answer 2

ok

Answer 3

i guess we need another picture

Answer 4

How she will find length of a for applying law of cosines

Answer 5

you are looking for angle \(B\)

Answer 6

yes

Answer 7

first you need side \(a\) via \[a^2=b^2+c^2-bc\cos(45)\] or
\[a^2=60.5^2+90^2-2\times 60.5\times 90\times \cos(45)\]

Answer 8

once you get \(a\) you can use the law of sines to find angle \(B\)

Answer 9

a= 4059.85 (??)

Answer 10

hold on let me check

Answer 11

that is \(a^2\) so \(a=63.7\) approx

Answer 12

now
\[\frac{\sin(B)}{90}=\frac{\sin(45)}{63.7}\]

Answer 13

making
\[\large B=\sin^{-1}\left(\frac{90\sin(45)}{63.7}\right)\]

Answer 14

http://www.wolframalpha.com/input/?i=arcsine%2890sin%2845%29%2F63.7%29

Answer 15

1?

Answer 16

i guess that is the closest
maybe some rounding error

Answer 17

if you take the square root out to more digits
i only kept one decimal place