Question

How to solve and the answer

Answer 1

x = 10; y = 10

Explanation:

`\sin(theta) = (opposite)/(hypotenuse)`

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

`\tan( {theta} ) = (opposite)/(adjacent)`

theta = 45°

opposite = x

hypotenuse = 10√2

adjacent = y

1) find x using sin formula

`\sin(theta) = (opposite)/(hypotenuse)`

`\sin(45) = (x)/(10 √(2) )`

`\sin(45) * 10 √(2) = x`

`10 = x`

`x = 10`

2) find y using cos formula

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

`\cos(45) = (y)/(10 √(2) )`

`\cos(45) * 10 √(2) = y`

`10 = y`

`y = 10`