Question

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

Answer 1

The answer is C (7.9)

Explanation:

Your welcome!

Answer 2

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