Power line pole

From point A, the power line pole is seen at an angle of 18 degrees. From point B to which we get when going from point A 30m away from the column at an angle of 10 degrees. Find the height of the power pole.

Correct result:

h =  11.5669 m

Solution:

c=30 m A=18 B=10 t0=tanA=tan18 =0.32492 t1=tanB=tan10 =0.176327=0.17633 h/x=tanA=t0 h/(x+c)=tanB=t1  x=h/t0 h/(h/t0+c)=t1 h=t1 (h/t0+c) h=t1/t0 h+c t1 h(1t1/t0)=c t1  h=c t11t1/t0=30 0.176310.1763/0.3249=11.5669 m



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