A heavy log is dragged across the ground by two horses pulling on ropes (see the figure below). The magnitudes of the tension forces in the direction of the ropes are 53 pounds and 71 pounds. If the angle between the ropes is 26°, find the magnitude of the resultant force. (Round your answer to the nearest whole number.)  -find the answer in the degree

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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1) A heavy log is dragged across the ground by two horses pulling on ropes (see the figure below). The magnitudes of the tension forces in the direction of the ropes are 53 pounds and 71 pounds. If the angle between the ropes is 26°, find the magnitude of the resultant force. (Round your answer to the nearest whole number.)
 -find the answer in the degree

2)  A ship is headed due north at a constant 22 miles per hour. Because of the ocean current, the true course of the ship is 15°. If the currents are a constant 20 miles per hour, in what direction are the currents running? (Enter your answers as a comma-separated list. Round your answers to the nearest whole number.)

3)  A ship headed due east is moving through the water at a constant speed of 18 miles per hour. However, the true course of the ship is 60°. If the currents are a constant 9 miles per hour, what is the ground speed of the ship? (Round your answer to the nearest whole number.)
 the answer should be in miles/hour.

4) After a wind storm, a farmer notices that his 34-foot windmill may be leaning, but he is not sure. From a point on the ground 33 feet from the base of the windmill, he finds that the angle of elevation to the top of the windmill is 51°. Is the windmill leaning? If so, what is the acute angle (or right angle) the windmill makes with the ground? (Round your answer to the nearest degree.)

 

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