Answer :
Answer:
185 m
Explanation:
• The angle of depression from the water tower to a forest fire = 18°
,• The height of the water tower = 60 meters
We want to find the horizontal distance on the ground between the water tower and the fire.
Let the distance = y
The diagram below illustrates the given information:
We then solve for y.
Using trigonometric ratios:
[tex]\begin{gathered} \tan18=\frac{60}{y} \\ \text{ Cross multiply} \\ y\times\tan18=60 \\ \text{ Divide both sides by }tan\;18 \\ y=\frac{60}{\tan18} \\ y=184.66 \\ y\approx185\text{ meters} \end{gathered}[/tex]The horizontal distance on the ground between the water tower and the fire is 185 meters (rounded to the nearest meter).
