document.write( "Question 697592: in right triangle ABC, angle C=90, angle A=55, and CA=10. what is the length of AB to the nearest integer.
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Algebra.Com's Answer #430123 by jsmallt9(3758) $\"\"$ $\"About$

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Since side CA is adjacent to angle A and side AB is the hypotenuse. The Trig functions that have adjacent and hypotenuse in their ratios are cos and sec. Since our calculators probably do not have a sec button we will use cos:
\n" ); document.write( " $\"cos%2855%29+=+10%2Fx\"$ where x is the length of side AB
\n" ); document.write( "Multiplying each side be x we can eliminate the fraction:
\n" ); document.write( " $\"x%2Acos%2855%29+=+10\"$
\n" ); document.write( "Dividing each side by cos(55):
\n" ); document.write( " $\"x+=+10%2Fcos%2855%29\"$
\n" ); document.write( "This is an exact expression for the solution. For a decimal approximation we use our calculators to divide 10 by cos(55):
\n" ); document.write( " $\"x+=+10%2F0.57357643635104609610803191282616\"$
\n" ); document.write( " $\"x+=+17.434467956210980198376834167244\"$
\n" ); document.write( "Rounded to the nearest integer this would be 17.\r
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