Measurements 8129

The plane flies at an altitude of 22.5 km to the observatory. At the time of the first measurement, it was seen at an elevation angle of 28° and during the second measurement at an elevation angle of 50°. Calculate the distance it flies between these two measurements.

Correct answer:

x =  23.4366 km

Step-by-step explanation:

h=22.5 km A=28  B=50   tan A = h:x1 x1=h/tanA=h/tan28° =22.5/tan28° =22.5/0.531709=42.31635 km  tan B = h:x2 x2=h/tanB=h/tan50° =22.5/tan50° =22.5/1.191754=18.87974 km  x=x1x2=42.316318.8797=23.4366 km

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