The angle of elevation of the top T of a pole from a point X on the horizontal ground is 32^\circ, 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.
A
128.3m
B
108.8m
C
80.2m
D
57.7m
E
42.5m
Verified Correct Answer: E.
Step-by-Step Mathematical Solution
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)
Source: Myschool Past Questions Archive (Record #41826)