SOLUTION: An airplane is observed to be approaching a point at a distance of 12km from the point of observation and makes an angle of elevation of 50°. Find the height of the airplane above

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Question 1202761: An airplane is observed to be approaching a point at a distance of 12km from the point of observation and makes an angle of elevation of 50°. Find the height of the airplane above the ground.

Found 2 solutions by ikleyn, math_tutor2020:
Answer by ikleyn(52794)   (Show Source): You can put this solution on YOUR website!
.

The relevant figure is a right angled triangle with the hypotenuse of 12 km 
and with an acute angle of 50° at the observation point on the ground level.


They want you find the opposite leg (which represents the height).


It is   kilometers.


Use your calculator and complete calculation on your own  (since it is elementary).

Happy calculations  ( ! )



Answer by math_tutor2020(3817)   (Show Source): You can put this solution on YOUR website!


sin(angle) = opposite/hypotenuse
sin(50) = h/12
h = 12*sin(50)
h = 9.19253331742773
h = 9.2

The height of the airplane is approximately 9.2 km.
Round that however needed.


Extra info:
9.2 km = 5.7166 miles = 30183.727 feet approximately

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