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

Answer:

b.Distance between two ships=742.80 miles

Step-by-step 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 =$\sqrt{(402)^2+(402)^2-2(402)^2 cos 135}$

Distance between two ships=$402\sqrt{1+1+2 cos (90+45)}$

Distance between two ships=$402\sqrt{2+2sin45}$

Distance between two ships=$402\sqrt{2+\sqrt2}$

Distance between two ships=742.799=742.80 miles

Distance between two ships=742.80 miles

Hence, option b is true.