Question

Mhanifa or anyone please answer!! Find x

Answer 1

`x=2.05`

Explanation:

To solve this problem, use the trigonometric ratios. The trigonometric ratios for a right triangle (a triangle with a right angle are the following).

`sin(\theta)=(opposite)/(hypotenuse)\\\\cos(\theta)=(adjacent)/(hypotenuse)\\\\tan(\theta)=(opposite)/(adjacent)`

In this case, one is given the hypotenuse (the side opposite the right angle) and one is asked to find the side adjacent to the given angle. Therefore, it would make the most sense to use the trigonometric ratio of cosine (
`cos`).

`cos(\theta)=(adjacent)/(hypotenuse)`

Substitute,

`cos(47)=(x)/(3)`

Inverse operations,

`3(cos(47))=x`

Simplify,

`x=2.05`

Answer 2

`x=2.0459`

Explanation:

• 
  `Cos 47=(x)/(3)`

• 
  `x=3*Cos47`

• 
  `2.0459`

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hope it helps...

have a great day!!