One day a friendly dolphin wanted to swim as close to shore to get a good view of the majestic lighthouse.
I love lighthouses!!! Can't wait to swim as close as I can without having the light shine on me!
He wanted to know how far the light shined if the lighthouse was 40 ft. tall and was shinning out at a 52 degree angle. So he used his trig knowledge and did 40/ cos (52) and found out it was shining 65 ft out.
The dolphin realized he could not go as close to shore as he wanted without the light shining on him, so he swam to another light house an hour away.
At this lighthouse he knew he was 30 ft. away and it was shining at a 45° angle. He did 30/ sin(45) to find that it was shinning 42 ft out
All of a sudden he realized he was wrong and he didn't know what angle the light was shining at. However he now knew it was actually 20 ft tall and he was 23 ft. away, so out of curiosity he decided to find the angle by doing cos-1 (20/23). He figured it out! It was shining at a 30° angle! -1
I wonder what the angle is!!
The friendly dolphin got to swim close about 23 feet away and enjoy the majestical lighthouse! The end.