Question

What is the value of x?

Answer 1

The answer is 5√2
We can use trigonometric functions to solve for the missing side. Since adjacent is what is missing, then we can use this formula:


`cosA = Adjacent/Hypotenuse`

From the problem we know that:
x = adjacent
Hypotenuse =10
A = 45°

So we plug in the data into the formula and derive the adjacent side.


`cosA = Adjacent/Hypotenuse`

`cos45 = x/10`

`(10)cos45 = x`

The exact value of
`cos45 = ( √(2) )/(2)`.

`(10)(( √(2) )/(2))= x`

`5 √(2) =x`