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Question Number 20021 by Tinkutara last updated on 20/Aug/17
Apersonobservestheangleofelevationofthepeakofahillfromastationtobeα.Hewalkscmetresalongaslopeinclinedattheangleβandfindstheangleofelevationofthepeakofthehilltobeγ.Showthattheheightofthepeakabovethegroundiscsinαsin(γ−β)(sinγ−α).
Answered by ajfour last updated on 20/Aug/17
Commented by ajfour last updated on 21/Aug/17
hcotα=ccosβ+(h−csinβ)cotγ⇒h(cosαsinα−cosγsinγ)=c(cosβ−sinβcosγsinγ)hsin(γ−α)sinαsinγ=csin(γ−β)sinγ⇒h=csin(γ−β)sinαsin(γ−α).
Commented by Tinkutara last updated on 21/Aug/17
ThankyouverymuchSir!
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