Question

What is the value of h?

Answer 1

x = 5
`√(2)`

Explanation:

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

cos45° =
`(1)/(√(2) )`, then

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

x ×
`√(2)` = 10 ( divide both sides by
`√(2)` )

x =
`(10)/(√(2) )` ×
`(√(2) )/(√(2) )`

=
`(10√(2) )/(2)` = 5
`√(2)`