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A steep mountain is inclined 74 degrees to the horizontal and rises 3150 feet above the surrounding plain. A cable for a cable car is to be installed from a point 725 feet from the base to the top of the mountain. Find the length of cable needed.

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Answer:

3546 ft

Step-by-step explanation:

First find length of base to center of mountain.

(3150*sin 16 deg)/(sin 74 deg) = ~903 ft

Then dist of point from centre of mountain

903+725=1628 ft

Then cable length

(3150^2 + 1628^2)^0.5 = ~3546 ft

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