Answer to Question #348517 in Trigonometry for goody hoody

Question #348517

a balloon is 50m high its angle of elevation from observer A is 45 and from observer B it is 30 what is the distance between observer b and observer a from the baloon


1
Expert's answer
2022-06-06T23:18:03-0400
x=htanθx=\dfrac{h}{\tan\theta}

xA=50tan45°=50(m)x_A=\dfrac{50}{\tan45\degree}=50(m)

xB=50tan30°=503(m)x_B=\dfrac{50}{\tan30\degree}=50\sqrt{3}(m)

Maximum distance


dmax=xA+xB=50+503=50(1+3)(m)d_{max}=x_A+x_B=50+50\sqrt{3}=50(1+\sqrt{3})(m)

136.6(m)\approx136.6(m)

Minimum distance


dmax=xA+xB=50+503=50(31)(m)d_{max}=-x_A+x_B=-50+50\sqrt{3}=50(\sqrt{3}-1)(m)

36.6(m)\approx36.6(m)


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