A ferry transports passengers to three different ports. from port a, the ferry travels east 3.5 miles to port b. the ship then t

Question

2 years ago

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A ferry transports passengers to three different ports. from port a, the ferry travels east 3.5 miles to port b. the ship then t

urns 75° south and travels for 6 miles to reach port c. what is the distance d from port c to port a? approximate to the nearest tenth of a mile. miles

Mathematics

1 answer:

lora16 [44] · Answer 1 · 2023-03-18T06:26:37+03:00

The distance d from port c to port a from the given ship movement is gotten as; 7.7 miles.

<h3>How to calculate bearing distance? </h3>

We are given;

Ferry travels east 3.5 miles from Port b.

Then it turns 75° south and travels for 6 miles till it gets to Port c

To get the distance d from port c to port a, we would make use of cosine rule which is;

c = √(a² + b² - 2ab*cos C)

Thus;

d = √(3.5² + 6² - 2(3.5 * 6)*cos 75))

d = 7.7 miles

Read more about bearings at; brainly.com/question/17612866