Question

A steep mountain is inclined 74 degrees to the horizontal and rises to a height of 3,400 feet above the surrounding plain. A cable car is to be installed running to the top of the mountain from a point 930 feet out in the plain from the base of the mountain. Find the shortest length of cable needed. Round to two decimal places. The shortest length of cable needed is feet.

          A steep mountain is inclined 74 degrees to the horizontal and rises to a height of 3,400 feet above the surrounding plain. A cable car is to be installed running to the top of the mountain from a point 930 feet out in the plain from the base of the mountain. Find the shortest length of cable needed. Round to two decimal places.

The shortest length of cable needed is feet.

A steep mountain is inclined 74 degrees to the horizontal and rises to a height of 3,400 feet above the surrounding plain. A cable car is to be installed running to the top of the mountain from a point 930 feet out in the plain from the base of the mountain. Find the shortest length of cable needed. Round to two decimal places.

The shortest length of cable needed is feet.

Added by Alan G.

Introductory and Intermediate Algebra for College Students 4th

Robert Blitzer 4th Edition

Instant Answer

Solved by Expert James Kiss

08/15/2022

Step 1

\[ B = \frac{3400}{\tan(74^\circ)} \] \[ B = \frac{3400}{\tan(74)} \] \[ B = \frac{3400}{3.43} \] \[ B = 977.01 \text{ feet} \] Show more…

Show all steps

Thanks for your feedback!

A steep mountain is inclined 74 degrees to the horizontal and rises to a height of 3,400 feet above the surrounding plain. A cable car is to be installed running to the top of the mountain from a point 930 feet out in the plain from the base of the mountain. Find the shortest length of cable needed. Round to two decimal places. The shortest length of cable needed is _______ feet.