A communications tower is located at the top of a steep hill. The angle of inclination of the hill is 67°. A guy wire is to be attached to the top of the tower and to the ground, 165 meters downhill from the base of the tower. The angle formed by the guy wire and the hill is 16°. Find the length of the cable required for the guy wire to the nearest whole meter.**Diagram Explanation:**- The diagram shows a triangular configuration with a communication tower at the top of a hill.- The hill has an angle of inclination of 67° with the horizontal ground.- A guy wire extends from the top of the tower down to the ground, forming an angle of 16° with the hill.- The distance from the base of the tower down the hill to the point where the wire meets the ground is 165 meters.The length of the cable is _________ m.

We use the equation Cos x = Adjacent side / Hypotenuse for the solution of this problem

A communications tower is located at the top of a steep hill. The angle of inclination of the hill is 67°. A guy wire is to be attached to the top of the tower and to the ground, 165 meters downhill from the base of the tower. The angle formed by the guy wire and the hill is 16°. Find the length of the cable required for the guy wire to the nearest whole meter. 16° 165m 67° The length of the cable is m.

A communications tower is located at the top of a steep hill. The angle of inclination of the hill is 67°. A guy wire is to be attached to the top of the tower and to the ground, 165 meters downhill from the base of the tower. The angle formed by the guy wire and the hill is 16°. Find the length of the cable required for the guy wire to the nearest whole meter. 16° 165m 67° The length of the cable is m.

Trigonometry (11th Edition)

11th Edition

ISBN:9780134217437

Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Chapter1: Trigonometric Functions

Section: Chapter Questions

Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.

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Question

A communications tower is located at the top of a steep hill. The angle of inclination of the hill is 67°. A guy wire is to be attached to the top of the tower and to the ground, 165 meters downhill from the base of the tower. The angle formed by the guy wire and the hill is 16°. Find the length of the cable required for the guy wire to the nearest whole meter.

**Diagram Explanation:**
- The diagram shows a triangular configuration with a communication tower at the top of a hill.
- The hill has an angle of inclination of 67° with the horizontal ground.
- A guy wire extends from the top of the tower down to the ground, forming an angle of 16° with the hill.
- The distance from the base of the tower down the hill to the point where the wire meets the ground is 165 meters.

The length of the cable is _________ m.

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