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