The value of angle of depression is 32 ° .
The angle of depression is "an angle formed between the horizontal line and the line of sight when an observer looks downwards at an object is known as an angle of depression".
The formula is g
[tex]\rm sin \; \theta = \dfrac{y}{z}\\\\\\cos \; \theta = \dfrac{x}{z}\\\\\\\; tan \;\theta = \dfrac{y}{x}\\[/tex]
where x is the distance between the point of the ground and the object , horizontally,
y is the perpendicular distance between the surface to the object
and z is the measure of line of sight
[tex]\rm \theta \\[/tex] is the angle of depression
It is given in the question that y= 500 m and x = 800 m
To determine angle of depression we will substitute the value
[tex]\; tan \;\theta = \dfrac{500}{800}\\\\\\ \;\;\theta = 32 \;degree[/tex]
Therefore the value of angle of depression is 32 ° .
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