Answer:
x = 471 ft
Step-by-step explanation:
Assuming A to be the man to the left of balloon, B to be the balloon and C to be the man to the right of balloon, we can write:
∠BAC = 75°20'
∠BCA = 49°30'
∠ABC = 180 - 75°20' - 49°30' = 55°10'
AB = 400 ft
So basically we need to find the value of x, which is the opposite side to the angle of 75°20' using the law of sine:
x/sin(75°20') = 400/sin(55°10')
x = 400 * sin(75°20') / sin(55°10')
x = 471.44
x = 471 ft
