Question

(Pic included) Find K

Answer 1

k = 2

Explanation:

using the sine or cosine ratios with either of the 45° angles and exact value

sin45° = cos45° =
`(1)/(√(2) )`

using the sine ratio with the lower 45° angle , then

cos45° =
`(opposite)/(hypotenuse)` =
`(k)/(2√(2) )` =
`(1)/(√(2) )` ( cross- multiply )

k ×
`√(2)` = 2
`√(2)` ( divide both sides by
`√(2)` )

k = 2