Buried Treasure Problem: Suppose you seek a treasure that is buried in the side of a mountain. The mountain range has a sinusoidal vertical cross section (Figure 6-7h). The valley to the left is filled with water to a depth of 50 m, and the top of the mountain is 150 m above the water level. You set up an x-axis at water level and a y-axis 200 m to the right of the deepest part of the water. The top of the mountain is at distance x = 400 m. Mountaintop Surface 15아, Treasure Water 400 -200 50- Figure 6-7h a. Find a particular equation expressing y for points on the surface of the mountain as a function of x. b. Show algebraically that the sinusoid in part a contains the origin, (0, 0). c. The treasure is located beneath the surface at the point (130, 40), as shown in Figure 6-7h. Which would be the shorter way to dig to the treasure, a horizontal tunnel or a vertical tunnel? Show your work.