Answer:
x = 1.5[tex]\sqrt{14}[/tex]
Step-by-step explanation:
since the triangle is right we can use the trig. ratio sine to solve
sin 45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{1.5\sqrt{7} }{x}[/tex]
multiply both sides by x
x sin45° = 1.5[tex]\sqrt{7}[/tex]
using sin45° = [tex]\frac{1}{\sqrt{2} }[/tex], then
x ×[tex]\frac{1}{\sqrt{2} }[/tex] = 1.5[tex]\sqrt{7}[/tex]
multiply both sides by [tex]\sqrt{2}[/tex]
x = 1.5[tex]\sqrt{7}[/tex] ×[tex]\sqrt{2}[/tex] = 1.5[tex]\sqrt{14}[/tex]
