1. **Problem statement:** Given an angle of $36.6^\circ$, we want to find the tension in a string or cable. 2. **Formula and explanation:** The tension $T$ in a string holding an object at an angle can be found using the components of forces. If the object has weight $W$, then the vertical component of tension balances the weight: $$T \cos(\theta) = W$$ 3. **Rearranging the formula to find tension:** $$T = \frac{W}{\cos(\theta)}$$ 4. **Important rule:** The angle $\theta$ is measured between the string and the vertical direction. 5. **Substitute the angle:** $$T = \frac{W}{\cos(36.6^\circ)}$$ 6. **Calculate $\cos(36.6^\circ)$:** Using a calculator, $\cos(36.6^\circ) \approx 0.803$ 7. **Final expression for tension:** $$T = \frac{W}{0.803}$$ This means the tension is the weight divided by approximately 0.803. If you provide the weight $W$, we can calculate the exact tension value.