The angle of elevation of the top T of a pole from a point X on the horizontal ground is 32°, if X is 68 m away from the foot F of the pole, calculate the height FT of the pole, correct to one decimal place.
to calculate for the high of the pole, we use sohcahtoa
Let the height of the pole be x.
Tan32º = \(\frac{opp}{adj}\)
Tan32º = \(\frac{x}{68}\)
x = Tan32º x 68 = 42.5m ( to 1 d.p)
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