From two points A and B, 43m apart and on the same horizontal line with the foot C of an electric pole, the angles of elevation of the top of the pole are 24 degree and 37 degree respectively. Find the heights of the pole

5 answers

I assume A and B are on the same side of the pole
tan 37 = h/b
tan 24 = h/(b+43)

b = h/tan 37
tan 24 = h/ (h/tan 37 + 43)
.445 = h/ (1.33 h + 43)
.5905 h + 19.1 = h
.4095 h = 19.1
h = 46.6
If A and B are on opposite sides of the pole, then
h cot 37° + h cot 24° = 43
I nreer
Mathematics Multiples and common multiples Inside-out maths
2a+3a=5a²
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