Answer:
x = 102.33 m
Explanation:
Given that,
Position where a forest ranger stands is 35 m above the ground. The angle of depression to the base of the fire is 20. We need to find how far from the tower is the fire.
Let the distance is x. We can find x using trigonometry as follows :
[tex]\sin\theta=\dfrac{\text{perpendicular}}{\text{hypotenuse}}\\\\\sin(20)=\dfrac{35}{x}\\\\x=\dfrac{35}{\sin(20)}\\\\x=102.33\ m[/tex]
Hence, the fire is at a distance of 102.33 m from the fire.
