contestada

A steep mountain is inclined 74 degree to the horizontal and rises to a height of 3400 ft above the surrounding plain. A cable car is to be installed running to the top of the mountain from a point 890 ft out in the plain from the base of the mountain. Find the shortest length of cable needed.

Respuesta :

Rau7star

Answer:

about 3878 ft

Step-by-step explanation:

Assuming that the cable is not doubled, we need to find the length of the base of the mountain i.e

3400/tan(74)  = about 975 ft

Therefore, the length of the cable  =

√[ 3400² + (975 + 890)²]  = about 3878 ft

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