Respuesta :
[tex]\cos x^o=\dfrac{3.0}{6.8}\\\\\cos x^o=0.4412\to x^o\approx64^o\\\\Answer:\ x=64[/tex]
Answer: The required value of x is 64.
Step-by-step explanation: We are given to find the value of x from the figure.
From the figure, we see a right-angled triangle in which an acute angle has measurement x°.
And, for the angle with measurement x°, the base has a length of 3.0 units and hypotenuse has a length of 6.8 units.
Therefore, the cosine of that angle will be
[tex]\cos x^\circ=\dfrac{base}{hypotenuse}\\\\\\\Rightarrow \cos x^\circ=\dfrac{3.0}{6.8}\\\\\\\Rightarrow \cos x^\circ=0.4411\\\\\Rightarrow x^\circ=\cos^{-1}(0.4411)\\\\\Rightarrow x^\circ=63.83^\circ\\\\\Rightarrow x=63.83.[/tex]
So, to the nearest whole number, we get
x = 64.
Thus, the required value of x is 64.