document.write( "Question 616658: a communications company is building a 30 foot antenna to carry cell phone transmissions. as shown in the diagram below, a 50 foot wire from the top of the ground is used to stabilize the antenna. find to the nearest degree the measure of the angle that the wire makes with the ground \n" ); document.write( "

Algebra.Com's Answer #387816 by dragonwalker(73) $\"\"$ $\"About$

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I assume you have the diagram, so you see that the antenna and the ground make a 90 degree angle. So picture it as a triangle with a vertical line of 30 ft and the 'hypotenuse' i.e. the wire, is 50 ft long. \r
\n" ); document.write( "\n" ); document.write( "To find the angle you use the opposite length to the angle (i.e. the height of the tower) and the hypotenuse.\r
\n" ); document.write( "\n" ); document.write( "To do this you must use Sine.\r
\n" ); document.write( "\n" ); document.write( "If we call the angle X then the formula is:\r
\n" ); document.write( "\n" ); document.write( "Sin (X) = Opposite/Hypotenuse
\n" ); document.write( "so:\r
\n" ); document.write( "\n" ); document.write( "Sin (X) = 30/50\r
\n" ); document.write( "\n" ); document.write( "Sin (X) = 0.6\r
\n" ); document.write( "\n" ); document.write( "X = Sin^-1 0.6\r
\n" ); document.write( "\n" ); document.write( "so using the inverse sine of 0.6\r
\n" ); document.write( "\n" ); document.write( "X = 36.9 degrees \n" ); document.write( "

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