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Ira Lisetskai [31]
3 years ago
13

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

Mathematics
1 answer:
RoseWind [281]3 years ago
3 0

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)

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