Question

What is the value of x? ​

Answer 1

x = 20

Explanation:

using the cosine ratio in the right triangle and the exact value

cos45° =
`(√(2) )/(2)` , then

cos45° =
`(adjacent)/(hypotenuse)` =
`(10√(2) )/(x)` =
`(√(2) )/(2)` ( cross- multiply )

x ×
`√(2)` = 20
`√(2)` ( divide both sides by
`√(2)` )

x = 20