Question

I want to know what is the answer to this?

Answer 1

x = 1.5
`√(14)`

Explanation:

since the triangle is right we can use the trig. ratio sine to solve

sin 45° =
`(opposite)/(hypotenuse)` =
`(1.5√(7) )/(x)`

multiply both sides by x

x sin45° = 1.5
`√(7)`

using sin45° =
`(1)/(√(2) )`, then

x ×
`(1)/(√(2) )` = 1.5
`√(7)`

multiply both sides by
`√(2)`

x = 1.5
`√(7)` ×
`√(2)` = 1.5
`√(14)`