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Which equation could be used to find the value of x?

Triangle DEF where angle E is a right angle. DE measures x. DF measures 55. Angle D measures 49 degrees.

cos 49° = x over 55
cos 49° = 55 over x
sin 49° = x over 55
sin 49° = 55 over x

Respuesta :

JeanaShupp

Answer: cos 49° = x over 55

Step-by-step explanation:

In trigonometry, Formula of sine and cosine :

[tex]\sin \theta =\dfrac{\text{Side opposite to }\theta}{\text{Hypotenuse}}\\\cos \theta =\dfrac{\text{Side adjacent to }\theta}{\text{Hypotenuse}}[/tex]

By using the given description we draw the follwoing figure ( given in attachment).

Hypotenuse DF = 55 [Side opposite to right angle]

[tex]\theta=49^{\circ}[/tex]

Side opposite to [tex]\theta=EF[/tex]

Side adjacent to [tex]\theta=DE=x[/tex]

So ,

[tex]\cos 49^{\circ}=\dfrac{DE}{DF}=\dfrac{x}{55}[/tex]

Hence, the correct answer is cos 49° = x over 55.

Ver imagen JeanaShupp

The equation that can be used to find x is cos 49° = x /55

Right angle triangle:

  • A right angle triangle has one of it angles as 90 degrees.
  • The sides can be calculated using Pythagoras theorem

Triangle DEF :

  • ∠E = 90 degrees
  • DE = x
  • DF = 55
  • ∠D = 49 degrees

The following trigonometric rations can be used to find x. Therefore,

cos ∅ = adjacent / hypotenuse

adjacent side = x

hypotenuse = 55

Therefore,

cos 49° = x / 55

learn more on right angle here: https://brainly.com/question/21036040?referrer=searchResults

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