Question

question 1 solve for x. 8.12 23.78 16.5 7.73 question 2

Explanation:

Step1: Identify trigonometric ratio

In a right - triangle, the cosine of an angle is defined as the adjacent side divided by the hypotenuse. Here, the angle is $18^{\circ}$, the adjacent side to the angle is $x$, and the hypotenuse is $25$ cm. So, $\cos(18^{\circ})=\frac{x}{25}$.

Step2: Solve for x

We can re - arrange the formula to solve for $x$: $x = 25\times\cos(18^{\circ})$. We know that $\cos(18^{\circ})\approx0.9511$. Then $x = 25\times0.9511 = 23.7775\approx23.78$.

Answer:

23.78