Can anyone please help me figure this problem out?

Question

asked Aug 25, 2022 210k views

1 Answer

Derek Evermore · Answer 1 · 2022-09-01T11:07:31+0000

Answer:

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