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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?

Verified Answer :

The correct answer for the question that is being presented above is this one: "C. 7.9 miles."

Area of the circle = pi r^2
= pi 100
= 314.15927.

It's traveled 45/360 = 1/8 of the circumference

Here are the following choices:
A. 0.8 miles
B. 4.5 miles
C. 7.9 miles
D. 12.5 miles

Step-by-step explanation:

Read the answer above/ below mine, I just wanted to point out that to solve this problem you use the circumference formula! The circumference of a circle is 2pi(r). r= radius= 10 (because 10 mi). Plug this into a calculator by typing: (20*pi) [division symbol] 8 =, and then it will give you 7.85..., but remember to round up to 7.9.

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