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Contact [7]
3 years ago
14

b. From where the shoes spilled (48°N, 161°W) to where they were found on May 22nd 1996 (54°N, 133°W), how many kilometers did t

hey travel? How many days did they take to travel that distance (use April 30 as the date found)? What was their rate of travel in kilometers per hour?
Mathematics
1 answer:
dsp733 years ago
3 0

To find kilometers using latitude and longitude:

distlon = lon2 - lon1   = 133-161 = -23

distlat = lat2 - lat1  = 54-48 = 6

a = (sin(distlat/2))^2 + cos(lat1) * cos(lat2) * (sin(distlon/2))^2  

a = (sin(6/2)^2 + cos(48)*cos(54)* sin(-23/2)^2

c = 2 * arctan2( sqroot(a), sqroot(1-a) )  

d = R * c (where R is the radius of the Earth, 6373 km's)

d = 2052 km's

April 30th to May 22nd is 23 days.

23 days x 24 hours per day = 552 hours.

Rate of travel = 2052 / 552 = 3.717 km per hour ( round answer as needed.)

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<em>Correct question is:</em>

<em>A cone with radius 3 units is shown below. Its volume is 57 cubic units. Find the height of the cone. Use 3.14 for pi and round your final answer to the nearest hundredth.</em>

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