Background: A new Ski Resort called "Penta Ski Resort" has five mountains that _ _ will be used for ski slopes. Before the resort opens, park constructors 1"? . - 1 . , , , :3,- - . ' need to set up skI runs and deCIde on the level of difficulty for each '- . 1' J, ski run. I ' Surveyors have graphed cross-sections of the 5 mountains: , 1; - ---- Mt. Zacry, Mt. Arbour, Mt. Tango, Mt. Boston and Mt. Faimreather. It is your job to use these cross-sections, your knowledge of functions, gradients and calculus. in order to make recommendations for the proposed ski runs. Note: |m| (the "absolute value" of m) means to give the value of m as positive. e.g. |-3.1| = 3.1, |2| = 2 Note: For numerical answers, give exact values unless otherwise specied. Where exact value answers are not possible, answers should be rounded to 3 decimal places unless instructed differently. Question 1 Ski runs can be classified in the following categories: Beginner, Intermediate, and Expert. Below is a table stating the angle range of the mountain slope for each category. Run classication Angle of incline of the mountain Gradient range slope, 9 ' Beginner (easy) a???? 4. 20 ' I'll ' Expert (hard) a???? > 35 Using the angle measurements, calculate the gradient (m) range for each run classification. Fill your answers in the table above. Use m = tan 9. Pace 5 of 13