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Dafna1 [17]
2 years ago
13

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?
Mathematics
1 answer:
Levart [38]2 years ago
8 0

The ship movement is an illustration of distance and bearing

The ship is 31.97 miles from its point of departure

<h3>The distance from the point of departure?</h3>

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

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