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3 years ago

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The top of blue mountain ski slope 19 3/4 yards above sea level. The lowest point of the ski point is 12.5 yards below sea level

. Deangelo and Kashawn are going skiing and will be taking a ski lift up to the top of the mountain. The ski lift is going to pick them up at the midpoint between top and bottom of the slope. At what elevation will they be picked up?

1 answer:

lorasvet [3.4K]3 years ago

5 0

Answer: 3.625 yards above the sea level.

Step-by-step explanation:

Given: The elevation of top of top of blue mountain above the sea level= $19\frac{3}{4}=19.75\ yards$

The length of the lowest point below the sea level= 12.5 yards

The total elevation from the lowest point under the sea and the top of blue mountain=19.75+12.5=32.25 yards

The midpoint between the top and bottom of the slope = $\frac{1}{2}\times32.25=16.125\ yards$

Since the ski lift is going to pick them up at the midpoint between top and bottom of the slope.

Therefore, the elevation at which they will be picked up= 19.75-16.125=3.625\ yards above the sea level.

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Step-by-step explanation:

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A = $A_S+A_C$

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If we divide through with (2) and each entity move to the opposite side; we have:

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By cross multiplying; we have:

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∴ since $y= \frac{240}{\pi+4}$ , we can determine for the length of the circle ;

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= $60-\frac{240}{\pi+4}$

= $\frac{(\pi+4)*60-240}{\pi+40}$

= $\frac{60\pi+240-240}{\pi+4}$

= $(\frac{60\pi}{\pi+4})in$

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The smallest possible area (A) = $\frac{1}{16} (\frac{240}{\pi+4})^2+(\frac{60\pi}{\pi+y})^2(\frac{1}{4\pi})$

= 126.0223095 in²

≅ 126.02 in² ( to two decimal places)

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