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# balloon question

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an observer on the ground is 50m horizontally from a hot air balloon. the angle of elevation to the top of the balloon is 60 degrees and to the bottom of the balloons basket is 40 degrees. Find the total height of the balloon from the base of the basket to the top of the balloon

Mar 10, 2019

$$\tan(60^\circ)=\dfrac{top}{50}\\ \tan(40^\circ)=\dfrac{base}{50}\\ top-base =50 \tan(60^\circ)-50\tan(40^\circ)\\ \text{I leave you to complete it}$$