An observer is standing in a lighthouse 96 feet above the level of the water. the angle of depression of a buoy is 22. what is the horizontal distance between the observer and the buoy (to the nearest whole number)?

238 feet.

Step-by-step explanation:

Refer the attached figure .

An observer is standing in a lighthouse 96 feet above the level of the water.i.e AC = 96 feet

The angle of depression of a buoy is 22° i.e. ∠ABC = 22°

Now we are required to find  the horizontal distance between the observer and the buoy i.e. BC

Now, use trigonometric ratio.

Thus the horizontal distance between the observer and the buoy  is 237.62≈238 feet.

the graph in the attached figure

step-by-step explanation:

we have

using a graphing tool

the graph in the attached figure

the roots are ( x-intercepts) x=-0.5,x=1,x=3

the y-intercept is the point (0,3)