Three pillars

On a straight road, three pillars are 6 m high at the same distance of 10 m. At what angle of view does Vlado see each pillar if it is 30 m from the first and his eyes are at 1.8 m high?

Correct answer:

A =  11.4032 °
B =  8.5707 °
C =  6.8633 °

Step-by-step explanation:

n=3 h=6 m a=10 m l1=30 m o=1.8 m  tanα=o:l1 α=π180°arctan(o/l1)=π180°arctan(1.8/30)3.4336   tanβ=(ho):l1 β=π180°arctan((ho)/l1)=π180°arctan((61.8)/30)7.9696   A=α+β=3.4336+7.9696=11.4032=11°2412"
θ=arctan(o/(l1+a))+arctan((ho)/(l1+a))=arctan(1.8/(30+10))+arctan((61.8)/(30+10))0.1496 rad B=θ  °=θ π180   °=0.1496 π180   °=8.571  °=8.5707=8°3414"
Ψ=arctan(o/(l1+2 a))+arctan((ho)/(l1+2 a))=arctan(1.8/(30+2 10))+arctan((61.8)/(30+2 10))0.1198 rad C=Ψ  °=Ψ π180   °=0.1198 π180   °=6.863  °=6.8633=6°5148"



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