Respuesta :
The fire from the base of the tower is at 120 m and Option D is the correct answer.
What is Angle of Depression ?
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
[tex]\rm sin\;\theta = y/z\\\\\\cos\; \theta = x/z\\\\\\tan\; \theta = 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 = 14°
It is given in the question that y= 30 m
x= ?
To determine we will substitute the value
[tex]\rm tan\; \theta = y/x\\\\\\tan \;14^{o} = 30/ x\\\\\\0.25 = 30/x\\\\\\\x= 30/0.25\\\\\\x= 120 m\\[/tex]
Therefore the fire from the base of the tower is at 120 m and Option D is the correct answer.
To know more about Angle of depression
brainly.com/question/13514202
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