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A 20 m high electric pole stands upright on the ground with the help of steel wire to its top and affixed on the ground. If the steel wire makes 60° with the horizontal ground, then find out the length of the steel wire.
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- 40/ √3 m
- 40 √3 m
- 20/ √3m
- 20 √3m
Correct Option: A
Let us draw the figure from the given question.
In triangle POQ , we have
PQ = 20 m
| sin60° | = | PQ | ⇒ | √3 | = | 20 |
| OP | 2 | OP |
| ⇒ OP = 20 | X | 2 | = | 40 | m. |
| √2 | √3 |
| Hence ,The length of the steel wire = | 40 | m |
| √3 |
