A 170-foot tall antenna has 4 guy-wires connected to the top of the antenna, and each guy-wire is anchored to the ground. A side-view of this scenario is shown. o B anchor 1 anchor 2 One of the guy-wires forms an angle of a = 0.3 radians with the antenna and the opposing guy-wire forms an angle of 3= 0.4 radians with the antenna. a. What is the horizontal distance between anchor 1 and the base of the antenna? feet Preview b. What is the horizontal distance between anchor 2 and the base of the antenna? feet Preview c. What is the distance between anchor 1 and anchor 2? feet Preview
A 170-foot tall antenna has 4 guy-wires connected to the top of the antenna, and each guy-wire is anchored to the ground. A side-view of this scenario is shown. o B anchor 1 anchor 2 One of the guy-wires forms an angle of a = 0.3 radians with the antenna and the opposing guy-wire forms an angle of 3= 0.4 radians with the antenna. a. What is the horizontal distance between anchor 1 and the base of the antenna? feet Preview b. What is the horizontal distance between anchor 2 and the base of the antenna? feet Preview c. What is the distance between anchor 1 and anchor 2? feet Preview
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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![### Antenna Guy-Wire Problem
A 170-foot tall antenna has four guy-wires connected to the top of the antenna, and each guy-wire is anchored to the ground. A side-view of this scenario is shown below:
**Diagram Description:**
- The diagram shows a tall antenna standing vertically, with the heights labeled as 170 feet.
- Two guy-wires are depicted extending from the top of the antenna to two separate anchors on the ground, labeled as anchor 1 and anchor 2.
- Angle \( \alpha \) (0.3 radians) is formed between one of the guy-wires and the antenna.
- Angle \( \beta \) (0.4 radians) is formed between the opposing guy-wire and the antenna.
The following questions pertain to this setup:
1. **One of the guy-wires forms an angle of \( \alpha = 0.3 \) radians with the antenna, and the opposing guy-wire forms an angle of \( \beta = 0.4 \) radians with the antenna.**
a. What is the horizontal distance between anchor 1 and the base of the antenna?
\[ \_\_\_\_ \text{ feet} \] \(\text{Preview}\)
b. What is the horizontal distance between anchor 2 and the base of the antenna?
\[ \_\_\_\_ \text{ feet} \] \(\text{Preview}\)
c. What is the distance between anchor 1 and anchor 2?
\[ \_\_\_\_ \text{ feet} \] \(\text{Preview}\)
d. What is the length of the guy-wire connected to the top of the antenna and anchor 1?
\[ \_\_\_\_ \text{ feet} \] \(\text{Preview}\)
e. What angle does the guy-wire make with the ground at anchor 1?
\[ \_\_\_\_ \text{ degrees} \] \(\text{Preview}\)
---
### Explanation of the Diagram:
- The antenna is represented as a vertical line with a height of 170 feet.
- Two slanted lines extend from the top of the antenna, indicating the guy-wires.
- These lines meet two points on the ground, labeled as anchor 1 and anchor 2, forming the respective angles \( \alpha = 0.3](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F158ff8a4-3ead-4dd0-873f-c19380d22714%2F335174c7-036c-4917-89f7-49faa7232787%2Fn2u7lgk_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Antenna Guy-Wire Problem
A 170-foot tall antenna has four guy-wires connected to the top of the antenna, and each guy-wire is anchored to the ground. A side-view of this scenario is shown below:
**Diagram Description:**
- The diagram shows a tall antenna standing vertically, with the heights labeled as 170 feet.
- Two guy-wires are depicted extending from the top of the antenna to two separate anchors on the ground, labeled as anchor 1 and anchor 2.
- Angle \( \alpha \) (0.3 radians) is formed between one of the guy-wires and the antenna.
- Angle \( \beta \) (0.4 radians) is formed between the opposing guy-wire and the antenna.
The following questions pertain to this setup:
1. **One of the guy-wires forms an angle of \( \alpha = 0.3 \) radians with the antenna, and the opposing guy-wire forms an angle of \( \beta = 0.4 \) radians with the antenna.**
a. What is the horizontal distance between anchor 1 and the base of the antenna?
\[ \_\_\_\_ \text{ feet} \] \(\text{Preview}\)
b. What is the horizontal distance between anchor 2 and the base of the antenna?
\[ \_\_\_\_ \text{ feet} \] \(\text{Preview}\)
c. What is the distance between anchor 1 and anchor 2?
\[ \_\_\_\_ \text{ feet} \] \(\text{Preview}\)
d. What is the length of the guy-wire connected to the top of the antenna and anchor 1?
\[ \_\_\_\_ \text{ feet} \] \(\text{Preview}\)
e. What angle does the guy-wire make with the ground at anchor 1?
\[ \_\_\_\_ \text{ degrees} \] \(\text{Preview}\)
---
### Explanation of the Diagram:
- The antenna is represented as a vertical line with a height of 170 feet.
- Two slanted lines extend from the top of the antenna, indicating the guy-wires.
- These lines meet two points on the ground, labeled as anchor 1 and anchor 2, forming the respective angles \( \alpha = 0.3
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Transcribed Image Text:anchor 1
anchor 2
One of the guy-wires forms an angle of a = 0.3 radians with the antenna and the opposing guy-wire forms an angle of 8 = 0.4 radians with the
antenna.
a. What is the horizontal distance between anchor 1 and the base of the antenna?
549.56
feet
Preview
549.56 549.56.
Came
b. What is the horizontal distance between anchor 2 and the base of the antenna?
402.09
feet Preview 402.09402.09.
c. What is the distance between anchor 1 and anchor 2?
951.65
jeet Preview 951.65 951.65.
d. What is the length of the guy-wire connected to the top of the antenna and anchor 1?
feet Preview
e. What angle does the guy-wire make with the ground at anchor 1?
radians
Preview
Box 1: Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2/3, 5+4)
Enter DNE for Does Not Exist, oo for Infinity
Box 2: Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2/3, 5+4)
Enter DNE for Does Not Exist, oo for Infinity
Jatian (liko 522 242 51
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