Final answer:
To find the length of AC, we can use the sine formula with side BC and angle B. To find the length of AB, we can use the cosine formula with side BC and angle B.
Step-by-step explanation:
To find the length of AC, we can use the sine formula. Since we have the length of side BC and angle B, we can use the sine of angle B to find the length of AC.
We can set up the equation as follows:
sin(B) = AC/BC
Plugging in the given values:
sin(20°) = AC/45m
We can solve for AC by multiplying both sides by 45m and then taking the sin inverse of both sides to get the value of AC.
To find the length of AB, we can use the cosine formula. Since we have the length of side BC and angle B, we can use the cosine of angle B to find the length of AB.
We can set up the equation as follows:
cos(B) = AB/BC
Plugging in the given values:
cos(20°) = AB/45m
We can solve for AB by multiplying both sides by 45m and then taking the cos inverse of both sides to get the value of AB.