SOLUTION: A plane is flying at an elevation of 24000 feet. It is within sight of the airport and the pilot finds that the angle of depression to the airport is 18 degrees Find the dist

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Question 469769: A plane is flying at an elevation of 24000 feet. It is within sight of the airport and the pilot finds that the angle of depression to the airport is 18 degrees Find the dist
Answer by ccs2011(207) About Me  (Show Source):
You can put this solution on YOUR website!
Use trig ratios:
sin%2818%29+=+24%2C000%2Fd
where d is distance from plane to airport
Solve for d:
Multiply by d on both sides
d%2Asin%2818%29+=+24000
Divide by sin(18) on both sides
d+=+24000%2Fsin%2818%29
d+=+77665.63
To convert to miles, divide by 5280
77665.63%2F5280+=+14.71
Therefore, distance from airport is approximately 14.7 miles