Respuesta :

Answer:

x = 12.5

Step-by-step explanation:

Since the figure above is a right angled triangle we can use trigonometric ratios to find x

To find x we use cosine

cos∅ = adjacent / hypotenuse

From the question

The hypotenuse is x

The adjacent is 10

Substitute these values into the above formula and solve for x

That's

[tex] \cos(37) = \frac{10}{x} [/tex]

[tex]x \cos(37) = 10[/tex]

Divide both sides by cos 37

[tex]x = \frac{10}{ \cos(37) } [/tex]

x = 12.52135

We have the final answer as

x = 12.5 to the nearest tenth

Hope this helps you