Respuesta :

smmwaite

Answer:

=2.83 the second option

Step-by-step explanation:

Using the trigonometric ratios we can find the sides of the triangle with the acute angles.

In the triangle provided we will use COSINE

Cos ∅=adjacent/hypotenuse

Let us substitute with the values in the question into the formula.

Tan 45 =2/x

x=2/Cos 45

=2.83 units

luisejr77

Answer: SECOND OPTION.

Step-by-step explanation:

You can use the following identity:

[tex]cos\alpha=\frac{adjacent}{hypotenuse}[/tex]

In this case:

[tex]\alpha=45\°\\adjacent=2\\hypotenuse=x[/tex]

Therefore, in order to calculate the value of "x", you need to substitute values into [tex]cos\alpha=\frac{adjacent}{hypotenuse}[/tex] and solve for "x".

This is:

[tex]cos(45\°)=\frac{2}{x}\\\\xcos(45\°)=2\\\\x=\frac{2}{cos(45\°)}\\\\x=2\sqrt{2}[/tex]

[tex]x[/tex]≈[tex]2.83[/tex]

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