F.2 Maths 一題!

2010-08-12 8:33 am
有張圖:
http://img24.imageshack.us/img24/1503/gggxs.png

and..問題:)

A mosquito flies from a point B on water surface along the straight line BD to a point D (see the figure). It is caught by a dragonfly flying from a point C on the water surface along the straight line CD. If BD and CD make angles of 70° and 25° respectively with the water surface AC and the distance between B and C is 80cm, find the height(AD) of D above the water surface.
(Give the answer correct to the nearest cm.)

唔該晒:)

回答 (1)

2010-08-12 8:50 am
✔ 最佳答案

圖片參考:http://img24.imageshack.us/img24/1503/gggxs.png


AC - AB = 80

AD/tan25° - AD/tan70° = 80

AD tan70° - AD tan25° = 80 tan25° tan70°

AD (tan70° - tan25°) = 80 tan25° tan70°

AD = (80 tan25° tan70°) / (tan70° - tan25°)

AD = 44.93...

AD = 45cm (correct to the nearest cm.)






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