Answer:
b = [tex]22.62^{o}[/tex]
Step-by-step explanation:
Since the triangle is a right angled triangle, the appropriate trigonometric function can be applied to determine the value of b.
Thus, to determine the value of b;
Sin θ = [tex]\frac{opposite}{hypotenuse}[/tex]
Sin b = [tex]\frac{20}{52}[/tex]
= [tex]\frac{20}{52}[/tex]
= 0.38462
⇒ b = [tex]Sin^{-1}[/tex] 0.38462
= 22.6202
b = [tex]22.62^{o}[/tex]
The measure of angle E (= b) is [tex]22.62^{o}[/tex].
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