Question

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

Answer 1

Answer:

b = $22.62^{o}$

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 = $\frac{opposite}{hypotenuse}$

Sin b =  $\frac{20}{52}$

         =  $\frac{20}{52}$

          = 0.38462

⇒ b = $Sin^{-1}$ 0.38462

  = 22.6202

b = $22.62^{o}$

The measure of angle E (= b) is $22.62^{o}$.

         =