Right triangle upper A upper B upper C has a small square box at angle B. The side opposite of each angle is labeled as the lowercase letter of the angle name.

Use the Law of Sines to solve the following problem. If ∠A=55 degrees
and side a=450 km
, then find the length of side c to the nearest kilometer.

(1 point)
km

To find the length of side c, we can use the Law of Sines:

a/sin A = c/sin C

Plug in the values we know:

450/sin(55) = c/sin(90)

450/sin(55) = c/1
c = (450/sin(55))

Using a calculator to solve for c, we get:

c ≈ 554 km

Therefore, the length of side c is approximately 554 km.