derive formula for height
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Answer:
Call the distance to the hill d.
Then tanB=hd and tanA=h+td.
Eliminating d gives the desired result:
htanB=h+ttanA
htanB=htanA+ttanA
ttanA=htanB−htanA
t=(tanA)(htanB−htanA)
t=h(tanA)(1tanB−1tanA)
t=h(tanAtanB−tanAtanA)
t=h(tanAtanB−1).
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