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Name: __________________________ Date: ___________________________8-8 Real Life Applications:Designing Your Water Park 330136586487000There is a new water park being built on the East Coast and the site development is underway. You have been hired as a consultant to work with the development team of engineers and project-managers. Your boss, Nicolas Harrington, wants you to include specific attractions and necessities in your design. The last few attractions that need to be included are listed below:-Lazy river-Wheelchair Accessibility-Fencing Around a Children’s Triangular Playground-Snack Shack, Bathrooms, Help desk in closeproximity (close together)-A Snack Shack-Angle of elevation from a parents view on theground to the top of a ride.-A “Slippery Slope Water Slide”Your Role: You are either a project manager or an engineer and have been asked to determine, using the formulas we have learned associated with triangles, how far away certain attractions are from one another and/or the angles between them.This will provide the construction workers with the information they need to build the park.When you are done with your calculations, you will pair up with a member from the “opposite team” (a project manager or an engineer) to submit your work for review.Keep your work neat and organized so that they can accurately assess your abilities!Once you both agree and “sign off” of each other’s’ work, you will get the license to build!Application 1The owner of the water park mandates that there is wheelchair access near the park entrance. The ramp has to be at an angle with the ground of six degrees for maximum safety, and the top of the ramp touches a point on the wall the is 15 inches above the ground. Calculate the necessary length of the wheelchair ramp to the nearest 10th.Application 2At the “Kid’s Korner!” there is a children’s playground which needs to be fenced in. The playgrounds dimensions are shown below. Find the perimeter of the fencing to the nearest foot.Application 3The snack shack (point A) is 48 km from the bathrooms (point B) and 32 km from the help desk (point C) as shown in the diagram. If the bathrooms are 56km from the help desk, find the measure of the angle at the snack shack to the nearest degree.Application 4The snack shack is to be built with specific measurements given by the town’s architect. The length of the patio outside of the snack shack will be 60 feet. The right side of the roof will meet the ground at an angle of elevation of 18?. The left angle of elevation is 58?.(a) What is the angle at which the two sides of the roof meet? (b) Determine the length of the roof.Application 5Two children, Nick and Gabby, are taking a ride of the Triangular Lazy River. They both start from the Loading Dock and float in different directions. Nick travels 20 feet and Gabby travels 34 feet. The angle between their paths is 70°. Find the distance between the two kids to the nearest 10th.Application 6“Slippery Slope Water Slide”The water park is going to be famous for having the steepest waterslide in the East Coast! The ladder leading up to the top of the slide will be 68 feet. The angle between the slide and the ladder would need to be 35 degrees. The distance from the base of the ladder to the end of the slide is 127 feet.Find the angle the slide makes with the water to the nearest 10th.Application 7The waterpark also has a Ferris wheel as a main attraction.The distance from the ticket booth to the Parent Viewing Center is 40 feet.The distance from the ticket booth to the top of the Ferris wheel is 83 feet.The distance from the top of the Ferris wheel to the Parent Viewing Center is 103 feet.One of the safety restrictions that the park owner requires is that the angle of elevation at the parent viewing area needs to less than 56 degrees, in order for them to see his/her child at the top of the ride.Do the given dimensions satisfy this requirement? ................
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