please fast answer. to find the height of the pole, a surveyor uses a theodolite. the theodolite is 4 ft tall. the surveyor stands 140 feet away from the base of the pole . then she measures the angle of elevation to the top of the pole to be 44. what is the height of the pole? round to the nearest foot.
Answers
Answer:
C. 139 ft
Step-by-step explanation:
Height of the pole = x + 4 ft
First, find x using trigonometric function.
Reference angle = 44°
Opposite side length = x
Adjacent side length = 140 ft
Apply TOA, which is:
Tan 44 = opp/adj
Tan 44 = x/140
Multiply both sides by 140
140 × Tan 44 = x
135.196428 = x
x ≈ 135 ft
✔️Height of the pole = x + 4 ft = 135 + 4 = 139 ft
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