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A hemispherical dome has a diameter of 100m. A spotlight is placed on point B along the circumference on ground level. A balloon is released at point A on the center at a rate of 2m/s. how fast is the shadow of the balloon move on the roof when the balloon is 25m high?

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    Ah, the balloon is *inside* the dome? And so is the spotlight? I had understood that the balloon was released from the top of the roof. A clearer description of the problem would help! (The picture below helps a lot ...)2012-08-22

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Sketch in GeoGebra

Click here for higher resolution.

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    @MaoYiyi I made that using the free open source software called GeoGebra. You may find that link in the community ads, i.e. [here](http://meta.math.stackexchange.com/a/3391/32803).2012-10-26