Two ships leave a harbor together, traveling on courses that have an angle of 135 degrees between them. if they travel 402 miles

Question

3 years ago

7

, 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

2 answers:

Rom4ik [11] · Answer 1 · 2022-02-25T12:00:11+03:00

7 0

I did the problem in the attached image

Sauron [17] · Answer 2 · 2022-02-25T13:16:57+03:00

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.