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A ship is traveling around the outside rim of an island surveying a good place to land. If it is 10 miles from a lighthouse at the center of the island and 45° from due north, how far has the ship traveled from the most northern tip of the island to the nearest tenth?

0.8 miles

4.5 miles

7.9 miles

12.5 miles

Verified Answer :

Using the formula of circumference :
c = 2pir 

Where: 
pi = 3.14
r = radius = 10 miles 
c = circumference 

substituting the values
c = 2pir 
c = 2 3.14 10 
c = 62.83 miles 

The ship has traveled 45°  due north
so,
d = ( total circular distance 45 ) / 360 
substituting the values:
we get;

d = ( 62.83 45 ) / 360 
   = 7.85 miles 
   = 7.9 miles

Answer:

The answer is C (7.9)

Step-by-step explanation:

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