Question

A ship is traveling in a circle around the outside rim of an island park 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?

Answer 1

7.9 miles

Explanation:

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