搜搜做题作业网200分求一道数学题,求懂英文的高手
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200分求一道数学题,求懂英文的高手
If a projectile is fired from ground level with an initial velocity of ν ft/sec and at an angle of θ degrees with the horizontal,the range R of the projectile is given by the following formula.If ν = 90 ft/sec,approximate the angles that result in a range of 140 feet.(Please enter your answer(s) in degrees without units and round to the nearest hundredth.Enter your answers as a comma-separated list.)
R=（V^2/16）sinθcosθ
θ =多少 好像答案是有2个解
If a projectile is fired from ground level with an initial velocity of ν ft/sec and at an angle of θ degrees with the horizontal,the range R of the projectile is given by the following formula.If ν = 90 ft/sec,approximate the angles that result in a range of 140 feet.(Please enter your answer(s) in degrees without units and round to the nearest hundredth.Enter your answers as a comma-separated list.)
R=（V^2/16）sinθcosθ
θ =多少 好像答案是有2个解
R=（V^2/16）sinθcosθ
140=90^2/16*1/2*sin2θ
sin2θ=140*32/8100=448/810=224/405
2θ=arcsin224/405=33.579012963518934(度)
或
2θ=180度-arcsin224/405=180度-33.579012963518934(度)
所以
θ=16.7895064818度约等于=16.79度
或
θ约等于73.21度.
140=90^2/16*1/2*sin2θ
sin2θ=140*32/8100=448/810=224/405
2θ=arcsin224/405=33.579012963518934(度)
或
2θ=180度-arcsin224/405=180度-33.579012963518934(度)
所以
θ=16.7895064818度约等于=16.79度
或
θ约等于73.21度.