If segment FD = 20 units and segment DE = 52 units, what is the value of b? Round the solution to the nearest hundredth.


triangle DEF in which angle F is a right angle, angle D measures a degrees, and angle E measures b degrees

Respuesta :

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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