Question

A ship travels 40 miles due east, then adjusts its course 12° southward. After traveling 70 miles in that direction, how far is the
ship from its point of departure?

Answer 1

The ship movement is an illustration of distance and bearing

The ship is 31.97 miles from its point of departure

The distance from the point of departure?

The given parameters are:

• Distance east = 40 milies
• Distance southwards = 70 miles
• Angle = 12 degrees

See attachment for the image of the above parameters

The distance (x) from the point of departure is then calculated using the following cosine function

a^2 = b^2 + c^2 - 2bc * cos(Ф)

So, we have:

x^2 = 40^2 + 70^2 - 2 * 40 * 70 * cos(12)

Evaluate the exponent and the product

x^2 = 6500 - 5477.63

Evaluate the difference

x^2 = 1022.37

Evaluate the exponent

x = 31.97

Hence, the ship is 31.97 miles from its point of departure

Read more about distance and bearing at:

brainly.com/question/24142612