A railroat scaimg a moumtain is 241 m long and rises 125 m in elevation. What is the angle of the incline to the nearest tenth of a thegree?
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To find the angle of the incline, you can use the sine function, which relates the opposite side (the rise) to the hypotenuse (the length of the railroad). The formula is: \[\text{sin(θ)} = \frac{\text{opposite}}{\text{hypotenuse}} = \frac{125 \, \text{m}}{241 \, \text{m}}\] Calculating this gives you: \[\theta = \text{sin}^{-1}\left(\frac{125}{241}\right) \approx 29.4^\circ\] So, the angle of the incline is approximately 29.4 degrees when rounded to the nearest tenth. Also, note that using either the tangent or cosine function could help in finding the incline angle depending on what measurements you know. Tangent would use the rise and run (horizontal distance), while cosine would involve the adjacent side. Always remember to confirm what you have before selecting your approach!
