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

Question

asked Feb 18, 2021 4.9k views

1 Answer

Mallory · Answer 1 · 2021-02-24T15:01:59+0000

Answer:

22.6°

Explanation:

Reference angle = <FDE

Side opposite to <FDE = 5

Hypotenuse = 13

The trigonometric ratios to apply is:

$sin(\theta) = (opp)/(hyp)$

Plug in the values

$sin(\angle FDE) = (5)/(13)$

$sin(\angle FDE) = 0.3846$

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

$\angle FDE = 22.6$ (nearest tenth)