Answer:
The angle of descent is 81°
Step-by-step explanation:
We have to think of the problem as a right triangle where the height of the plane is the leg adjacent to the angle of descent and the distance from the ground is the opposite leg
well to start we have to know the relationship between angles, legs and the hypotenuse in a right triangle
α = ?
a: adjacent = 10,000ft
o: opposite = 60,000
h: hypotenuse
sin α = o/h
cos α = a/h
tan α = o/a
we see that it has (angle, adjacent, opposite)
is the tangent
tan α = o/a
tan α = 60,000/10,000
tan α = 6
α = tan^-1(6)
α = 80.5377
if we want to round to the nearest degree
α = 80.5377° = 81°
The angle of descent is 81°
