find out the angle of depression made by a man, who observes a point on the ground from the top of a building 50m high and the length from the top of the building to the point is 100m.
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Required Answer:-
Along the line of sight, The angle of depression becomes equals to angle of elevation of the top of building from a point.
Here we have:
- Height of the building (p) = 50 m
- Distance from point to top (h) = 100 m
We need to find the angle of elevation. Since the measures of perpendicular and hypotenuse is known, we can use sine for determining θ.
➛ sin θ = p/h
➛ sin θ = 50 m / 100 m
➛ sin θ = 1/2
In trigonometry, Sin θ is equals to 1/2 when θ = 30°. Hence, the angle of depression = angle of elevation of the point is 30° (Ans)
Trigonometric table:-
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Anonymous:
Splendid! :D
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