Oh No! My friend was on the roof to get my cat Lela that got stuck up there and the ladder fell and broke, she is now stuck. I must go get a new ladder, but how tall does it need to be?
If her angle of depression is 45 degrees and the right side of the house (where she is standing) is 12 feet tall...how tall was the ladder?
45
12 FT
We must use sine to find the length of the hypotenuse. Since we know sin is opposite over hypotenuse...I set up the equation...sin45 = 12/x. I then solved by plugging into my calculator 12/sin45 to find out that the length of the hypotenuse/ladder is 17.0 feet.
WOOHOO! I just went down the slide. I am curious how many feet this slide was? Let us find the length of the hypotenuse.
I know that my angle of elevation is 60 degrees and that the distance from the bottom of the slide to the base is 6 feet.
60
6ft
We need to use cosine to find the length of the slide. Since cosine is adjacent over hypotenuse, I set up the equation as cos60 = 6/x. I then plugged 6/cos60 into my calculator to find that the hypotenuse/slide is 12 feet.