SOLUTION: in right triangle ABC, angle C=90, angle A=55, and CA=10. what is the length of AB to the nearest integer.

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.

Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!
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:
where x is the length of side AB
Multiplying each side be x we can eliminate the fraction:

Dividing each side by cos(55):

This is an exact expression for the solution. For a decimal approximation we use our calculators to divide 10 by cos(55):

Rounded to the nearest integer this would be 17.

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