Tree

Between points A and B is 50m. From A we see a tree at an angle 18°. From point B we see the tree in three times bigger angle. How tall is a tree?

Correct answer:

h =  13.1433 m

Step-by-step explanation:

c=50 m A=18 B=3 A=3 18=54 A0=A rad=A π180 =18 3.1415926180 =0.31416=π/10 B0=B rad=B π180 =54 3.1415926180 =0.94248=3π/10 h/c1=tanA h/c2=tanB c=c1+c2 h/tanA+h/tanB=c  h=c/(1/tan(A0)+1/tan(B0))=50/(1/tan(0.3142)+1/tan(0.9425))=13.1433 m

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