Question

A right triangle, DEF, is shown below. What is sin FDE?

Answer 1

Answer:

22.6°

Step-by-step explanation:

Reference angle = <FDE

Side opposite to <FDE = 5

Hypotenuse = 13

The trigonometric ratios to apply is:

$sin(\theta) = \frac{opp}{hyp}$

Plug in the values

$sin(\angle FDE) = \frac{5}{13}$

$sin(\angle FDE) = 0.3846$

$\angle FDE = sin^{-1}(0.3846)$

$\angle FDE = 22.6$ (nearest tenth)