A cable tied to the top of an electric pole i | vedclass

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(A) Let the height of the electric pole be $h$ and the length of the cable be $l = 22\, m$.The cable forms a right-angled triangle with the pole and t

Vedclass · Accepted Answer

$11$

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(A) Let the height of the electric pole be $h$ and the length of the cable be $l = 22\, m$.The cable forms a right-angled triangle with the pole and the ground.The angle of elevation is $	heta = 30^{\circ}$.In the right-angled triangle,the cable acts as the hypotenuse and the pole acts as the side opposite to the angle $	heta$.Using the trigonometric ratio $\sin(	heta) = \frac{	ext{opposite}}{	ext{hypotenuse}}$:$\sin(30^{\circ}) = \frac{h}{22}$Since $\sin(30^{\circ}) = \frac{1}{2}$,we have:$\frac{1}{2} = \frac{h}{22}$$h = \frac{22}{2} = 11\, m$.Thus,the height of the electric pole is $11\, m$.

$A$ cable tied to the top of an electric pole is fixed at a point on the ground. The length of the cable is $22\, m$ and it makes an angle of measure $30^{\circ}$ with the ground. Find the height of the electric pole (in $m$).

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