An airplane is flying at an elevation of 5150 ft, directly above a straight highway. Two motorists are driving cars on the highw
ay on opposite sides of the plane, and the angle of depression to one car is 34° and to the other is 54°. How far apart are the cars? (Round your answer to the nearest foot.)
1 answer:
Answer:
The cars are 10702ft apart
Step-by-step explanation:
Height of the plane from the high way = 5150ft
Considering Triangle ABD, we will be using SOHCAHTOA
Tan = Opposite/ Adjacent
Tan 54° = Y/5150
Y = 5150*tan54°
Y = 7088 ft
Considering Triangle ADC, Tan = Opposite/ Adjacent is also applicable
Tan 34° = X/5150
X = 5150*tan 54°
X = 3614ft
The distance between the two cars = (X+Y)
= 7088 + 3614
= 10702ft
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