Step-by-step explanation:
To determine what each side is represented, visually picture what the vertical and horizontal sides represent(those are typically the easiest) and then use process of elimination to find out what the third side here.
Here, we know that the horizontal side represent the distance from the base of the wind tubine to the buoy.
The vertical side is the height of the wind turbine.
The diagonal side is the distance from the top of the turbine to the buoy.
Usually, when your given some distance from the base of something, that usually gives u the horizontal distance.
If you are given the height, that is the vertical distance.
Thus, the horizontal side is 150.
We also know that the angle of elevation is 26 so the lower right angle is 26.
Using Trig ratio, let y be the vertical distance.
We are given an angle.
In reference to that angle, we now two sides of it: the side opposite of it and the side adjacent to it thus we use the tangent ratio.
[tex] \tan(26) = \frac{150}{y} [/tex]
Solving for x,
[tex]y= \frac{150}{ \tan(26) } [/tex]
[tex]y = 307.55[/tex]
