Answer:
AT = 8[tex]\sqrt{2}[/tex]
Step-by-step explanation:
Using the sine ratio in the right triangle
and sin45° = [tex]\frac{1}{\sqrt{2} }[/tex]
sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AB}{AT}[/tex] = [tex]\frac{8}{AT}[/tex]
Multiply both sides by AT
AT × sin45° = 8, that is
AT × [tex]\frac{1}{\sqrt{2} }[/tex] = 8
Multiply both sides by [tex]\sqrt{2}[/tex]
AT = 8[tex]\sqrt{2}[/tex]
