# The Mystery of the Slide - Solved by Trigonometry

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#### Storyboard Description

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

#### Storyboard Text

• Michelle
• Monday Morning as students were leaving for home...﻿﻿
• Hey guys! What did you both do this weekend? ﻿
• John
• Jemuel
• Both of us went to the water park. It was pretty cool.
• Who went on the longest slide?﻿
• Me!
• 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.
• ﻿John was on the longer slide. Mystery solved!
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