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
hev1
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#

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