Answer:
The value of x is 11.
Step-by-step explanation:
From the figure it is clear that the given triangle is a right angled triangle. The length of hypotenuse is x units , an angle 35° and adjacent side is 9 units.
Using trigonometric ratios, in a right angled triangle,
[tex]\cos \theta = \frac{adjacent}{hypotenuse}[/tex]
Substitute θ=35, adjacent = 9, hypotenuse =x in the above equation.
[tex]\cos 35=\frac{9}{x}[/tex]
[tex]0.819=\frac{9}{x}[/tex]
Multiply both sides by x.
[tex]0.819x=9[/tex]
Divide both sides by 0.819.
[tex]x=\frac{9}{0.819}[/tex]
[tex]x=10.989\approx 11[/tex]
Therefore the value of x is 11.
