A 266 ft tower is located on the side of a mountain that is inclined 34° to the horizontal. A guy wire is to be attached to the top of the tower and anchored at a point 62 ft downhill from the base of the tower. Find the shortest length of wire needed.

A 266 ft tower is located on the side of a mountain that is inclined 34° to the horizontal. A guy wire is to be attached to the top of the tower and anchored at a point 62 ft downhill from the base of the tower. Find the shortest length of wire needed.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Concept explainers

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.

Question

A 266 ft tower is located on the side of a mountain that is inclined 34° to the horizontal. A guy wire is to be
attached to the top of the tower and anchored at a point 62 ft downhill from the base of the tower. Find the
shortest length of wire needed.
| 266 ft
62 ft
34°
NOTE: The picture is NOT drawn to scale.
length of guy-wire =
ft
Enter your answer as a number; your answer should be accurate to 2 decimal places.

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