A person is standing exactly 36 ft from a telephone pole. there is a 30° angle of elevation from the ground to the top of the po le. what is the height of the pole? 12 ft ft 18 ft ft
2 answers:
I believe option B ... 12 (square root of) 3 ft
Answer:
As per the statement:
A person is standing exactly 36 ft from a telephone pole. there is a 30° angle of elevation from the ground to the top of the pole.
⇒Distance of a person from the telephone pole = 36 ft.
and angle of elevation ( ) = 30 degree.
We have to find the height of the pole.
Let h be the height of the pole.
Using tangent ratio:
Here,
Opposite side = h foot
Adjacent side = 36 ft
Angle of elevation:
Substitute these to solve for AB:
or
or
Simplify:
ft
Therefore, the height of the pole is ft
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