To find the value of x when given cos(24°) and rounding it to the nearest tenth, we need to first understand what cosine means in this context. In trigonometry, the cosine function relates the angle of a right triangle to the ratios of its adjacent side over the hypotenuse.
However, if we are specifically looking for the value of x, we first need to understand if x represents the angle, the length of the sides of the triangle, or something else. Given the question mentions cos(24°), it is likely we are calculating the cosine of a 24-degree angle.
Here are the steps we would take:
- Calculate the cosine of 24 degrees using a scientific calculator or trigonometric tables.
- The cosine of 24 degrees is approximately 0.9063.
- To round this value to the nearest tenth, we look at the first decimal place:
- The number 0.9063 rounds to 0.9 when we consider only the first decimal (the second decimal is less than 5, so we do not round up).
Thus, if x is representing the value of cos(24°), the final answer rounded to the nearest tenth is 0.9.