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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

Respuesta :

Using the formula of circumference :
c = 2pi*r 

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

substituting the values
c = 2pi*r 
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:

Your welcome!

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