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

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

Vocaloid · Answer

S = r(theta) where theta is in radians and r = radius of the circle, and S = path travelled

Vocaloid · Answer

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Vocaloid · Answer

so radians = (pi/180)*45 = 0.785398 radians

then  0.785398 radians * 10 miles = 7.9 = your answer

Vocaloid · Answer

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ThisGirlPretty · Answer

Thank you! I'm taking notes in my own words so I'll understand in the future