# geometry

posted by Anonymous

a plane is one mile above sea level when it begins to climb at a constant angle of 3 degrees for the next 60 ground miles. about how far above sea level is the plane after its climb

1. helper

You need to draw right triangle ABC.
Angle A (vertex angle) = 3 deg
side b (base) = 60 mi
side c = hypotenuse
side a (distance of climb) = unknown

tan A = op/hyp = a/b = a/60
tan 3 = a/60
0.0524 = a/60
60(0.0524) = a
3.144 mi = a

So the plane climbed 3.144 miles
To find how far above sea level after the climb,

1 mile + 3.144 miles = 4.144 miles above sea level

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