Answer:
Therefore, the height of the pole is approximately 20.79 feet.
Explanation:
the person is standing at point A, which is 36 ft away from the base of the telephone pole. The angle of elevation from the ground to the top of the pole is 30 degrees. We want to find the height of the pole, which is represented by "h" in the diagram.
To solve for "h", we can use the tangent function, which relates the opposite side (height) to the adjacent side (distance from the pole to the person) of a right triangle:
tan(30°) = h / 36
We can solve for "h" by multiplying both sides by 36 and taking the tangent of 30 degrees:
h = 36 * tan(30°)
h = 36 * 0.5774 (rounded to four decimal places)
h ≈ 20.79
Therefore, the height of the pole is approximately 20.79 feet.