The value of x is 10.
Solution:
Given triangle is a right triangle.
θ = 50°, adjacent side = 6, hypotenuse = x
The value of cos 50° = 0.6
Using trigonometric ratio formulas,
[tex]$\cos \theta=\frac{\text { Adjacent side of } \theta}{\text { Hypotenuse }}[/tex]
[tex]$\cos50^\circ=\frac{6}{x}[/tex]
[tex]$0.6=\frac{6}{x}[/tex]
Do cross multiplication, we get
[tex]x\times 0.6=6[/tex]
Divide by 0.6 on both sides, we get
[tex]$\frac{x\times 0.6}{0.6}=\frac{6}{0.6}[/tex]
x = 10
The value of x is 10.
