Question:
Solution:
Step 1: Find the missing interior angle x:
[tex]23+x+90\text{ = 180}[/tex]
this is equivalent to:
[tex]113+x\text{ = 180}[/tex]
solving for x, we obtain:
[tex]x\text{ = 180-113= 67}[/tex]
Thus, we obtain the following right-triangle:
Step 2: Apply the proper trigonometric identity:
[tex]\cos (67)=\frac{adjacent\text{ side}}{hypotenuse}=\frac{IJ}{7.6}[/tex]
that is:
[tex]\cos (67)=\frac{IJ}{7.6}[/tex]
solving for IJ, we obtain:
[tex]IJ\text{ = 7.6cos(67) = 2.9}\approx3[/tex]
so that, we can conclude that the correct answer (approximate to the nearest tenth) is:
[tex]IJ\text{ = 3}[/tex]
