SOLUTION: a passenger in an airplane flying at an altitude of h=29000 feet sees two towns directly to the left of the plane. if the respective angles of depression are theta1= 22 degrees and

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Question 893078: a passenger in an airplane flying at an altitude of h=29000 feet sees two towns directly to the left of the plane. if the respective angles of depression are theta1= 22 degrees and theta2= 58 degrees, determine the distance (in miles) between the two towns
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Distance on ground from point under the plane to the town for any angle of depression theta from the plane, d.

h%2Fd=tan%28theta%29
d%2Fh=1%2F%28tan%28theta%29%29
d=h%2F%28tan%28theta%29%29

Each distance d includes a portion in which is of no interest; instead you wan the DIFFERENCE between values.

Difference between the two towns:
h%2F%28tan%28theta%5B2%5D%29%29-h%2F%28tan%28theta%5B1%5D%29%29
highlight%2829000%281%2F%28tan%2858%29%29-1%2F%28tan%2822%29%29%29%281%2F5280%29%29 MILES

Should be about 10.2 miles, but this was not checked.

Answer by MathTherapy(10553) About Me  (Show Source):
You can put this solution on YOUR website!
a passenger in an airplane flying at an altitude of h=29000 feet sees two towns directly to the left of the plane. if the respective angles of depression are theta1= 22 degrees and theta2= 58 degrees, determine the distance (in miles) between the two towns


Distance between towns: Approximately 31862 feet, or 31862%2F5280, or 6.03 ≈ highlight_green%286%29 miles

You can do the check!! 



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