Due to weather, a barge captain decides to reach her destination in two legs: one due north and one due west. On a direct route, the barge’s destination is about 1,152 miles; see the figure below. If after traveling 605 miles due north the captain determines it is time to head due west, how many more miles are left in the trip? (Round the answer to the nearest mile.) pls help!! :(

let's call the solutions x₁ = (5 - 2√7)/3 and x₂ = (5 + 2√7)/3

then the equation is (x-x₁)(x-x₂) = 0

if you fill that in you get a lot of numbers which you can recognize as ax²+bx+c=0.

step-by-step explanation:

you can see that a=1 (there is just an x²)

b = (-5 -2√7 + 2√7 - 5)/3 = -10/3

c = -2√7)/3 ) * (-5+2√7)/3) = -1/3

so your answer is 3x^2 – 10x – 1 = 0

think the answer is 30 degrees. if not than it is 20 degrees. not 100% sure. let me know if it was right.

gill russ