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Find the value of M when sin ā”M=0.53788.


In triangle DEF, āˆ F is a right angle, f=5 and e=3. Find the māˆ E to the nearest hundredth.

A) 87.36Ā°

B) 30.96Ā°

C) 36.87Ā°

D) 53.13Ā°

PLEASE ANSWER BOTH AND SHOW OR EXPLAIN ANSWER :)

Respuesta :

M=32.54Ā°; māˆ E = 36.87Ā°.

To find the measure ofĀ āˆ M, we take the inverse sine of both sides:

sin M = 0.53788
sinā»Ā¹(sin M) = sinā»Ā¹(0.53788)
M = 32.54Ā°

ForĀ Ī”DEF, we have the side oppositeĀ āˆ E and the hypotenuse of the triangle.Ā  Opposite/hypotenuse is the ratio for sine, so our problem looks like this:

sin E = 3/5
sin E = 0.6

Take the inverse sine of both sides:
sinā»Ā¹(sin E) = sinā»Ā¹(0.6)
E = 36.87Ā°

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