Answer:
x = 30 units .
Step-by-step explanation:
Given : A right triangle with angle 53° and hypotenuse x and adjacent side 18.
To find : Solve for x .
Solution : We have given that a triangle
Angle = 53°
Hypotenuse = x.
Adjacent side = 18.
By the trigonometric cosine ratio
cos ( theta) = [tex]\frac{adjacent\ side}{hypotenuse}[/tex].
cos (53) = [tex]\frac{18}{hypotenuse}[/tex].
0.6 = [tex]\frac{18}{hypotenuse}[/tex].
On multiplying both sides by hypotenuse and dividing by 0.6
Hypotenuse = [tex]\frac{18}{0.6}[/tex].
Hypotenuse = 30 units.
Therefore, x = 30 units .
