Answer:
22.6°
Step-by-step explanation:
Reference angle = <FDE
Side opposite to <FDE = 5
Hypotenuse = 13
The trigonometric ratios to apply is:
[tex] sin(\theta) = \frac{opp}{hyp} [/tex]
Plug in the values
[tex] sin(\angle FDE) = \frac{5}{13} [/tex]
[tex] sin(\angle FDE) = 0.3846 [/tex]
[tex] \angle FDE = sin^{-1}(0.3846) [/tex]
[tex] \angle FDE = 22.6 [/tex] (nearest tenth)
