Answer:
2.8592933268
Step-by-step explanation:
tan(72) = 8.8/x
=> x = 8.8/tan(72) = 2.859293326849
The length of x is 3.
A triangle in which one of the interior angles is 90° is called a right-angled triangle. The longest side of the right triangle, which is also the side opposite the right angle, is the hypotenuse and the two arms of the right angle are the height and the base.
According to the given problem,
Perpendicular = 8.8
Base = x
Let the Hypotenuse be h,
∅ = 72°
We know,
sin∅ = [tex]\frac{Perpendicular}{Hypotenuse}[/tex]
⇒ sin72 = [tex]\frac{8.8}{h}[/tex]
⇒ 0.95 = [tex]\frac{8.8}{h}[/tex]
⇒ 0.95h = 8.8
⇒ h = [tex]\frac{8.8}{0.95}[/tex]
⇒ h = 9.3
Now, applying Pythagoras theorem,
Hypotenuse² = Perpendicular² + Base²
⇒ 9.3² = 8.8² + x²
⇒ 9.3² - 8.8² = x²
⇒ x² = 9.05
⇒ x = √9.05
⇒ x = 3
Hence, we can conclude the value of x to be 3.
Learn more about right-angled triangle here: https://brainly.com/question/3772264
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