Question

Two ships leave a harbor together, traveling on courses that have an angle of 135 degrees between them. if they travel 402 miles, how far apart are they? question 11 options:

a.586.51 miles

b.742.80 miles

c.803.21 miles

d.551,750.57 miles

e.645,151.56 miles

Answer 1

I did the problem in the attached image

Answer 2

b.Distance between two ships=742.80 miles

Explanation:

We are given that two ships leave a harbor together ,travelling on course that have an angle of 135 degrees between them .

Distance travel by one ship=402 miles

Distance travel by second ship=402 miles

Angle between them =135 degrees

Distance between two ships =
`√((402)^2+(402)^2-2(402)^2 cos 135)`

Distance between two ships=
`402√(1+1+2 cos (90+45))`

Distance between two ships=
`402√(2+2sin45)`

Distance between two ships=
`402√(2+\sqrt2)`

Distance between two ships=742.799=742.80 miles

Distance between two ships=742.80 miles

Hence, option b is true.