Select your answer angle going 20 mph, at what gradient is the biker descending? (Note: \( \sin \left(28^{\circ}\right) \approx 0.469, \cos \left(28^{\circ}\right) \approx \) \( \left.0.883, \tan \left(28^{\circ}\right) \approx 0.532\right) \) \( 9.4 \% \) \( 10.6 \% \) \( 17.7 \% \) \( 46.8 \% \) \( 53.2 \% \)
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To find the gradient at which the biker is descending, we can use the tangent of the angle given. The gradient percentage is calculated as: \[ \text{Gradient} = \tan(28^{\circ}) \times 100\% \] Since \( \tan(28^{\circ}) \approx 0.532\), we multiply: \[ 0.532 \times 100\% \approx 53.2\% \] So, the biker is descending at approximately 53.2%. Did you know that cycling enthusiasts often measure gradients not only as a percentage but also in degrees? A 10% gradient means a 10-meter rise over a 100-meter run, quite the workout! For bikers, hills can be both a challenge and an exhilarating adventure! If you're hitting the trails, remember that tackling steep gradients requires both physical preparation and mental stamina. Make sure your bike's gears are in good shape, and practice shifting smoothly. One common mistake is overexerting on climbs; pacing yourself can save energy for those exhilarating descents!