geometry
posted by
airplanes
.
an airplane is flying 75km south and 35 km west of an airport. It is flying at a heigh of 6 km
A)what is the straightline distance to the airport?
B)What is the angle of elevation of the airplane, from the point of of view of the airport?

geometry 
Steve
The plane is at a distance d where
d^2 = 75^2+35^2+6^2 = 6886
d = 83 km (82.99, but who's checking?)
the angle of elevation θ = arctan(6/83) = 4.169° = 4°10'8"

geometry  PS 
Steve
oops.
θ = arcsin(6/83) = 4.145°

geometry 
Anonymous
θ = arcsin(6/83) = 4.145°