Question

The height of a radio tower is 500 feet, and the ground on one side of the tower slopes upward at an angle of $10^{\circ}$ (see the figure). (a) How long should a guy wire be if it is to connect to the top of the tower and be secured at a point on the sloped side 100 feet from the base of the tower? (b) How long should a second guy wire be if it is to connect to the middle of the tower and be secured at a position 100 feet from the base on the flat side?

          The height of a radio tower is 500 feet, and the ground on one side of the tower slopes upward at an angle of $10^{\circ}$ (see the figure).
(a) How long should a guy wire be if it is to connect to the top of the tower and be secured at a point on the sloped side 100 feet from the base of the tower?
(b) How long should a second guy wire be if it is to connect to the middle of the tower and be secured at a position 100 feet from the base on the flat side?

Added by Willie V.

Precalculus with Limits

Ron Larson 2nd Edition

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Solved by Expert James Kiss

08/30/2022

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The height of a radio tower is 500 feet, and the ground on one side of the tower slopes upward at an angle of $10^{\circ}$ (see the figure). (a) How long should a guy wire be if it is to connect to the top of the tower and be secured at a point on the sloped side 100 feet from the base of the tower? (b) How long should a second guy wire be if it is to connect to the middle of the tower and be secured at a position 100 feet from the base on the flat side?