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# TRIGONOMETRY question

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what is the angle if the adjacent side is 48 and the opposite side is 1290?

thanks!

Guest Jul 19, 2017

#1
+4777
+1

As long as this is in a right triangle, and the opposite and adjacent sides are not the hypotenuse...

tan( angle )  =  opposite / adjacent

Plug in the values we know for opposite and adjacent.

tan( angle )  =  1290 / 48

Take the inverse tangent of both sides.

angle  =  arctan( 1290 / 48 )

Put this into a calculator to get...

angle  ≈  87.869º

hectictar  Jul 19, 2017
Sort:

#1
+4777
+1

As long as this is in a right triangle, and the opposite and adjacent sides are not the hypotenuse...

tan( angle )  =  opposite / adjacent

Plug in the values we know for opposite and adjacent.

tan( angle )  =  1290 / 48

Take the inverse tangent of both sides.

angle  =  arctan( 1290 / 48 )

Put this into a calculator to get...

angle  ≈  87.869º

hectictar  Jul 19, 2017

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