Lilly went camping a decided to go on an adventure. First she wants to climb up this mountain but doesn't know how high the right side is, so she does trigonometry.
5/cos(45)=7.1
5
X
45
X
7/sin(45)=9.9
7
45
Now Lilly wants to figure out how far it is, going down the mountain.
X
4xtan(60)=6.9
4
60
When Lilly got down from the mountain she found this cave. She wants to know how tall that rock so she can jump over it.
Lilly walks out of the cave and sees a tree. She wants to find the angle of depression.
Since the hypotenuse is 15 and the height is 20, Lilly has to find the inverse cosine.
20
cos-1(15/20)=41.4
X
15
Finally, Lilly made it back to the campsite with her friends. She told them all about how much fun the hike was and all the math she did!