A helicopter H is observed from two stations A and B on the ground 2000m apart. A B H all line in the same vertival plane.The angles of elevation of H from A and B are 38 and 27 respectively, If the helicopter is h M above the ground.
1) find the length of AB in terms of h,
2) hence find the value of h
maths
2007-07-17 5:36 am
回答 (1)
2007-07-17 5:41 am
✔ 最佳答案
1 ) AB = h / tan 38* + h / tan 28*2 ) h / tan 38* + h / tan 28* = 2000
tan 28* h + tan 38* h = 2000 tan 28* tan 38*
h ( tan 28* + tan 38* ) = 2000 tan 28* tan 38*
h = 633 ( cor. to 3 s.f. )
參考: My Maths Knowledge
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