Answer:
Step-by-step explanation:
To solve for x, we can use the cosine function.
The Cosine function is a trigonometric function that describes the ratio of the adjacent side to the hypotenuse in a right-angled triangle.
[tex]\sf \cos\theta = \dfrac{adjacent}{hypotenuse} \\ [/tex]
here,
- adjacent side = x
- hypotenuse = 18
substitute the given values into cosine function,
[tex]\sf \cos 43\degree = \dfrac{adjacent}{hypotenuse} \\ \\ \sf 0.7314 = \dfrac{x}{18} \\ \\ \sf x = 18 \times 0.7314 \\ \\ \sf x = 13.2 \ in \\ [/tex]
Therefore, the value of x is 13.2 inches.
