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The pilot in an airplane observes the angle of depression of a light directly below his line of flight to be 30.4 degrees. A minute later its angle of depression is 43 degrees. If he is flying horizontally in a straight course at the rate of 150 mi./hr., find the (a) altitude at which he is flying; (b) his distance from the light at the first point of observation.
Draw the picture.
Fill in the angles you know from the problem description.
Draw an altitutde line from the 1st point of observation.
Note: 150 mph = 150/60 = 5/2 = 2.5 miles per minute
Put that figure into the picture.
You now have a triangle with angles 30.4, 137, and 12.6
and with side 2.5 miles
Use the Law of Sines to find "his distance from the light
at the 1st point of observation".
s = 7.82 miles
Now you can find the altitude using:
alt = 7.82*sin(30.4) = 3.96 miles = 20,909 feet.