Question

Solve for x. round your answer to the nearest tenth

Answer 1

13.8

Explanation:

Hello There!

Basic concept: Geometry

We can solve for x using trigonometric ratios

Here are the Trigonometric Ratios

Remember SOHCAHTOA

Sin = Opposite over Hypotenuse

Cos = Adjacent over Hypotenuse

Tan = Opposite over Adjacent

For the angle that has a measure of 37 degrees

We are given its adjacent side length (11) and we need to find the hypotenuse

Basic concept: Alegbra 1

Adjacent and Hypotenuse corresponds with Cos so we are going to use cosine to create an equation and solve for x

Remember cos = adjacent over hypotenuse

So

`cos37=(11)/(x)`

now we solve for x

what we want to do is get rid of the 11, to do so we divide each side by 11

`(11)/(cos37) =x\\cos37=.79863551\\(11)/(0.79863551) =13.773749224`

we're left with x = 13.773749224

finally we want to round to the nearest tenth

The answer would be 13.8