A power line extends from a light pole 43 meters to the ground and makes an angle of 30 degrees with the ground. To the nearest tenth of a meter, how tall is the light pole?

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1 Answer
Mar 22, 2018

The height of the power line is 21.5 meters.

Explanation:

Since this is a right angle triangle, the primary trigonometric ratios can be applied.
Let h be the height of the power line.
sin(x) = opposite/hypotenuse
sin(30) = h/43
h = 43* sin(30)
h = 43 * 1/2
h = 21.5