Power line pole

From point A, the power pole is visible at an angle of 18 degrees. From place B, which we reach if we go from place A 30m towards the pillar at an angle of 10 degrees. Find the height of the power pole.

Correct answer:

h =  11.5669 m

Step-by-step explanation:

c=30 m A=18  B=10  t0=tanA=tan18° =0.32492 t1=tanB=tan10° =0.176327=0.17633 h/x = tan A = t0 h/(x+c) = tan B = t1  x = h/t0 h/(h/t0+c) =t1 h =t1   (h/t0+c) h =t1/t0   h+c t1 h(1 t1/t0) = c t1  h=1t1/t0c t1=10.1763/0.324930 0.1763=11.5669 m

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