A 129 ft tower is located on the side of a mountain that is inclined 19* to the horizontal. A guy wire is to be attached to the top of the tower and anchored at a point 42 ft downhill from the base of the tower. Find the shortest length of wire needed. 129 ft 42 ft 19 NOTE: The picture is NOT drawn to scale. length of guy-wire = ft
A 129 ft tower is located on the side of a mountain that is inclined 19* to the horizontal. A guy wire is to be attached to the top of the tower and anchored at a point 42 ft downhill from the base of the tower. Find the shortest length of wire needed. 129 ft 42 ft 19 NOTE: The picture is NOT drawn to scale. length of guy-wire = ft
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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![**Text Transcription:**
A 129 ft tower is located on the side of a mountain that is inclined 19° to the horizontal. A guy wire is to be attached to the top of the tower and anchored at a point 42 ft downhill from the base of the tower. Find the shortest length of wire needed.
**Diagram Explanation:**
The diagram illustrates a right-angled triangle formed by a vertical line representing the 129 ft tower, a slanted line showing the guy wire, and the inclined base of the mountain, which has an angle of 19° with the horizontal. The base of the triangle is 42 ft long downhill from the tower's base to the anchor point.
The problem is to calculate the length of the hypotenuse of this triangle, which represents the guy wire, using the given dimensions and angle.
**Note:**
The picture is NOT drawn to scale.
**Calculation Placeholder:**
Length of guy-wire = [ ] ft](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc33787f9-b7a1-405a-a72e-7135aa1bc9d3%2Fdc8dfefd-e4ba-4d28-ba97-f42c517d29cd%2Fq5juqrz_processed.png&w=3840&q=75)
Transcribed Image Text:**Text Transcription:**
A 129 ft tower is located on the side of a mountain that is inclined 19° to the horizontal. A guy wire is to be attached to the top of the tower and anchored at a point 42 ft downhill from the base of the tower. Find the shortest length of wire needed.
**Diagram Explanation:**
The diagram illustrates a right-angled triangle formed by a vertical line representing the 129 ft tower, a slanted line showing the guy wire, and the inclined base of the mountain, which has an angle of 19° with the horizontal. The base of the triangle is 42 ft long downhill from the tower's base to the anchor point.
The problem is to calculate the length of the hypotenuse of this triangle, which represents the guy wire, using the given dimensions and angle.
**Note:**
The picture is NOT drawn to scale.
**Calculation Placeholder:**
Length of guy-wire = [ ] ft
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