英语数学题,求解答!
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① h / x = tan 47°48' = tan 47.8°
② h / (x+64) = tan 36°24' = tan 36.4°
计算h:1/② - 1/①
64 / h = cot 36.4° - cot 47.8°
h = 64 / (cot 36.4° - cot 47.8°)
计算x:①/②
(x+64) / x = tan 47.8° / tan 36.4°
化简,x = 64 / (tan 47.8° / tan 36.4° - 1)
得到h = 142.33m
x = 129.08m
楼高 = h + 1.95 = 144.28m
② h / (x+64) = tan 36°24' = tan 36.4°
计算h:1/② - 1/①
64 / h = cot 36.4° - cot 47.8°
h = 64 / (cot 36.4° - cot 47.8°)
计算x:①/②
(x+64) / x = tan 47.8° / tan 36.4°
化简,x = 64 / (tan 47.8° / tan 36.4° - 1)
得到h = 142.33m
x = 129.08m
楼高 = h + 1.95 = 144.28m
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