Question

PLEASE HELP AND EXPLAIN Use the cosine ratio to find the value of x, to the nearest tenth. The video literally NEVER explained how to do this. Please do step by step.

Answer 1

`\Huge \boxed{x \approx 4}`

`\rule[225]{225}{2}`

Explanation:

The triangle is a right triangle.

We can use trig functions to solve for the problem.

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

`\sf \displaystyle cos (34) = (x)/(4.8 )`

Multiplying both sides by 4.8.

`\sf \displaystyle 4.8 \cdot cos (34) = (x)/(4.8 ) \cdot 4.8`

`\sf x = 3.97938034`

The value of x is approximately 4.

`\rule[225]{225}{2}`

Answer 2

`\boxed{\bold{\huge{\boxed{x = 4.0}}}}`

Explanation:

`\sf Cos\ \theta = (Adjacent)/(Hypotenuse)`

Where
`\theta` = 34° , Adjacent = x and Hypotenuse = 4.8

`\sf Cos \ 34 = (x)/(4.8) \\0.829 = (x)/(4.8) \\x = 0.829*4.8\\x = 4.0`