Respuesta :

akaleti47
use sine rule

(sinD)/54=(sin71)/70

so sinD=0.73367073251

so, D= arcsin(0.73367073251)=47.195

go with option a

Answer:

Option A. 47°

Step-by-step explanation:

In the given triangle as per sine rule

sin F/DE = sin D/54

sin 71/70 = sin D/54

sin D = (54×sin 71)/70 = 54×0.9455/70 = 51.06/70 = 0.729

[tex]D=sin^{-1}(0.729)=46.80[/tex]

Therefore Option A. angle D = 47° is the answer.

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