John stands on top of a little lighthouse looking out at a nearby tall lighthouse that is 200 feet away. He looks at the top of the tall lighthouse with a 3 degree angle of elevation, but looks at the bottom of the tall lighthouse with 6 degree angle of depression. Find the height of the tall lighthouse.

1 answer

draw a diagram
review the tan(x) function

You will see that the tall lighthouse has height

200 tan3° + 200 tan6°

??? I suspect a typo somewhere.