Answer:
The angle of depression is 41.186°
Step-by-step explanation:
This problem can be thought of as a right triangle
well to start we have to know the relationship between angles, legs and the hypotenuse in a right triangle
α = angle of depression
a: adjacent = 200ft
o: opposite = 175ft
sin α = o/h
cos α= a/h
tan α = o/a
we see that it has (angle, adjacent, opposite)
we look at which meets those data between the sine, cosine and tangent
is the tangent
tan α = o/a
Now we replace the values and solve
tan α = 175ft / 200ft
tan α = 0.875
α = tan ^-1 (0.875)
α = 41.186°
The angle of depression is 41.186°
