1. A crate is supported by two ropes. One rope makes an angle of 25° 21? with the horizontal and has a tension of 80.8lb on it. The other rope is horizontal. Find the weight of the crate and the tension in the horizontal rope. a. What is the weight of the crate in pounds? b. The tension in the horizontal rope is how many pounds? (round each answers to the nearest tenth as needed.)
Added by Amanda W.
Step 1
We can break the tension in the first rope into its horizontal and vertical components. The horizontal component is given by $80.8 \cos(25° 21')$ and the vertical component is given by $80.8 \sin(25° 21')$. Show more…
Show all steps
Close
Your feedback will help us improve your experience
Dushyant Barot and 95 other Calculus 3 educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Solve each problem. See Examples $1-4.$ A crate is supported by two ropes. One rope makes an angle of $46^{\circ} 20^{\prime}$ with the horizontal and has a tension of 89.6 Ib on it. The other rope is horizontal. Find the weight of the crate and the tension in the horizontal rope.
Applications of Trigonometry
Geometrically Defined Vectors and Applications
A crate is supported by two ropes. One rope makes an angle of $46^{\circ} 20^{\prime}$ with the horizontal and has a tension of 89.6 pounds on it. The other rope is horizontal. Find the weight of the crate and the tension in the horizontal rope.
Applications of Trigonometry and Vectors
Vectors and Their Applications
A crate is supported by two ropes. One rope makes an angle of $46^{\circ} 20^{\prime}$ with the horizontal and has a tension of 89.6 lb on it. The other rope is horizontal. Find the weight of the crate and the tension in the horizontal rope.
Applications of Vectors
Recommended Textbooks
Calculus: Early Transcendentals
Thomas Calculus
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD