The given value of x will be found in a right-angled triangle with a base of length 5.2 units and perpendicular of length 3.1 units.
What is a right-angled triangle?
A triangle is said to be a right-angled triangle if one of its inner angles is 90 degrees, or if any one of its angles makes a right angle.
What is the value of x?
(Consider the given figure for reference)
[tex]tan x=\frac{perpendicular}{base}[/tex]
As seen from the figure,
perpendicular = 3.1 units
base = 5.2 units
∴ [tex]tan x =\frac{3.1}{5.2}[/tex]
⇒ [tex]x=tan^{-1} \frac{3.1}{5.2}[/tex]
This is the required value of x.
Therefore, it can concluded that the value of x in a right-angled triangle with a base of length 5.2 units and perpendicular of length 3.1 units is equal to [tex]tan^{-1}\frac{3.1}{5.2}[/tex]
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