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A steep mountain is inclined  to the horizontal and rises  above the surrounding plain. A cable car is to be installed from a point  from the base to the top of the mountain, as shown in the figure below. What is the shortest length of the cable needed?

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Cidne Carles
Cidne CarlesLv10
5 Nov 2020

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Part 1:  A tower is 120 meters tall.  A cable is attached from the top of the tower to a point on the ground that is 50 meters from the base of the tower.  How long is the cable?  (Drawing a picture might help.)  Be sure to explain your work and show details.

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