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A pole stands vertically on the ground with the help of a 12-metre steel wire tied to its top and affixed on the ground. If the steel wire makes an an
Question

A pole stands vertically on the ground with the help of a 12-metre steel wire tied to its top and affixed on the ground. If the steel wire makes an angle of 30° with the horizontal ground, then the height of the pole is equal to:

A.

8 meters

B.

6√3 meters

C.

8√3 meters

D.

6 meters

Correct option is D

Given:
Length of the steel wire = 12 meters
Angle made by the steel wire with the horizontal ground = 30°
Formula Used:
We know, for a right triangle:
sin(θ) = Opposite / Hypotenuse
Height of the pole = Opposite side in the triangle formed
Solution:
Let the height of the pole be H meters.
In the right triangle formed by the pole, wire, and ground, using the formula:
sin(30°) = Height / Length of the wire
We know sin(30°) = 1/2. Therefore,
1/2 = H / 12
H = 12 * 1/2 = 6 meters
Thus, the height of the pole is 6 meters.

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