(A) Let the height of the electric pole be $PQ = 20 \, m$ and the length of the steel wire be $OP$. The pole makes a right angle with the ground,so $\

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(A) Let the height of the electric pole be $PQ = 20 \, m$ and the length of the steel wire be $OP$. The pole makes a right angle with the ground,so $\triangle OPQ$ is a right-angled triangle at $Q$.Using the trigonometric ratio $\sin \theta = \frac{\text{Perpendicular}}{\text{Hypotenuse}}$:$\sin 60^{\circ} = \frac{PQ}{OP}$$\frac{\sqrt{3}}{2} = \frac{20}{OP}$$OP = \frac{20 \times 2}{\sqrt{3}} = \frac{40}{\sqrt{3}} \, m$.Thus,the length of the steel wire is $\frac{40}{\sqrt{3}} \, m$.

Competitive Quantitative Aptitude Heights and Distances Heights and Distances

Easy

$A$ $20 \, m$ high electric pole stands upright on the ground with the help of a steel wire attached to its top and fixed on the ground. If the steel wire makes an angle of $60^{\circ}$ with the horizontal ground,find the length of the steel wire (in $m$).

A
$\frac{40}{\sqrt{3}}$
B
$40 \sqrt{3}$
C
$\frac{20}{\sqrt{3}}$
D
$20 \sqrt{3}$

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$A$ $20 \, m$ high electric pole stands upright on the ground with the help of a steel wire attached to its top and fixed on the ground. If the steel wire makes an angle of $60^{\circ}$ with the horizontal ground,find the length of the steel wire (in $m$).

Similar Questions

$A$ kite is flying at a height of $75 \ m$ from the ground. The string makes an angle $\Theta$ (where $\cot \Theta = 8/15$) with the level ground. Assuming that there is no slack in the string,the length of the string is equal to (in $m$):

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The angle of elevation of the top of an unfinished tower at a point distant $120 \ m$ from its base is $45^{\circ}$. If the elevation of the top at the same point is to be $60^{\circ}$,the tower must be raised to a height of:

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From an aeroplane vertically over a straight horizontal road,the angles of depression of two consecutive milestones on the opposite sides of the aeroplane are observed to be $30^{\circ}$ and $60^{\circ}$. Find the height in miles of the aeroplane above the road.

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