Question

Can anyone please help me figure this problem out?​

Answer 1

x = 12

Explanation:

Step(i):-

From graph,

The angle of the triangle ∝ = 45°

Given hypotenuse of the triangle

AC = 12√2 and AB = x

Step(ii):-

we will choose sine function

`sin\alpha = (opposite side)/(hypotenuse)`

`sin\alpha = (x)/(12√(2) )`

Given that an angle ∝ = 45°

`sin45 = (x)/(12√(2) )`

`(1)/(√(2) ) = (x)/(12√(2) )`

`(1)/(1 ) = (x)/(12)`

x = 12

Final answer:-

x = 12