Question

Find the value of x in the given right triangle. 12. x = [?] 62° х Enter your answer as a decimal rounded to the nearest tenth. Enter

Answer 1

EXPLANATION

Let's see the facts:

We can use the Law of Cosines to calculate the unknown value:

`\cos \alpha\text{ = }\frac{\text{Adjacent cathetus}}{\text{Hypothenuse}}`

Replacing terms:

`\cos 62\text{ = }(x)/(12)`

Isolating x:

`x\text{ = 12}\cdot\cos 62\text{ = 6}`

Answer is x=6.