Question

A right triangle, DEF, is shown below.

What is sin FDE?

Answer 1

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)