Super Skipper was on a walk near the lake one day when he heard a cry for help.
!
Mittens was stuck in a tree! In order to save her, Super Skipper had to figure out how high to fly. He is looking up at a 45 degree angle and is 6 ft away from the tree. Using trigonometry, he concludes that tan(45)=x/6, which means tan(45)x6=6, so the tree is 6 ft tall.
?
6 ft
45o
But Mittens got spooked and fled to a rooftop! This time Super Skipper needed to know the distance between him and Mittens. Since he stood 75 inches from the building and looked at Mittens from a 65 degree angle, he made the equation cos(65)=75/x, which he figures x=75/cos(65), providing the outcome that he was 177 inches from Mittens. Super Skipper took a few steps back to jump.
65o
?
75 in
Before he could help her, she stumbled and started to fall into the lake. She hates water! Super Skipper used his super fast reflexes to determine what angle of elevation to jump at to catch her. Because they are 18 ft apart and Mittens was 9 ft in the air, the equation tan(x)=9/18 is simplified tox=tan-1(9/18), so he calculates it and jumps at a 26.6 degree angle before Mittens crashed.
9 ft
18 ft
?
It's a good thing Super Skipper can swim! They left the lake and searched for their owners.
Hopefully he didn't reveal his secret identity.
THE END
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