Question

Solve for X, Leave in simplest radical

Answer 1

We know,

`\cos(angle) = (base)/(hypotenuse)`

Here, the angle is 45°. Base = x, Hypotenuse = √10

We know,

`\cos(45) = (1)/( √(2) )`

Therefore,

`\cos(45) = (x)/( √(10) ) \\ = > (1)/( √(2) ) = (x)/( √(10) ) \\ = > x = ( √(10) )/( √(2) ) = √(5)`

Answer:

√5

Hope it helps.