Question

In the figure below, what is the value of angle Z?

Answer 1

Answer: SECOND OPTION.

Step-by-step explanation:

You can use the following identity:

$cos\alpha=\frac{adjacent}{hypotenuse}$

In this case:

$\alpha=45\°\\adjacent=2\\hypotenuse=x$

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

This is:

$cos(45\°)=\frac{2}{x}\\\\xcos(45\°)=2\\\\x=\frac{2}{cos(45\°)}\\\\x=2\sqrt{2}$

$x$≈$2.83$

Answer 2

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