The goal of this semester project was to fuse together technology and mathematical skills. Has this goal been achieved? Yes! After completing the project, I felt joy for having combined two very important elements together to show what I have learned. I used a real life application which consists of a scenario in which 2 friends went to a water park, and wanted to know who went on the longer slide. To find that out, they used trigonometry. This was a fun project because math isn’t just about number; it’s also if we know the concepts well enough to write it out and transform them for real life application.
By: Zarah Ahmad
Monday Morning as students were leaving for home...
Hey guys! What did you both do this weekend?
Both of us went to the water park. It was pretty cool.
Who went on the longest slide?
Ooh, sounds like we have some competition. We can use trigonometry to figure this out.
But how? I only know I went on the slide called "Fantastic 40" since the slide made a 40-degree angle with the ground. The ladder was 38 meters.
Oh yeah and my slide was called "risky fifty-fifty" because the length of the ladder and distance from slide to the ladder were both 50m
John, you can use the Pythagorean Theorem to find the hypotenuse, the length of slide, using the equation c^2=a^2+b^2. Your a and b values are both 50 meters. Use basic algebra to solve for c.
And Jemuel, you can use SOH-CAH-TOA . Since hypotenuse is the slide's length, we must use sine of 40 since we know the side opposite to it is 38m. We can't use tangent because it's a ratio of opposite to adjacent, and we need hypotenuse. We can't use cosine because we don't know the adjacent side-length.
Alright so I'll do this : c^2= 50^2+50^2 and that is c^2 = 2,500. Then I sqaure root 5,000 to find the value of c and it about 71m.
Alright and I'll do sin(40) = 38/x and I cross multiply and so it's 38/sin40 which is about 60m.