Final answer:
To find the missing dimensions of a rectangle with a length of 12 and an angle of 23°, we can use trigonometry to solve. By using the formula width = length * tan(angle), we find that the width is approximately 5.05. Therefore, the dimensions of the rectangle are length = 12 and width ≈ 5.05.
Step-by-step explanation:
To find the missing dimensions, we need to use the information given. We are told that the rectangle has a length of 12 and an angle of 23°. We are not given the width, so we need to find it. Since we have the length and an angle, we can use trigonometry to find the width. Since it is a rectangle, we know that opposite sides are equal in length, so if one side is 12, the opposite side is also 12. To find the width, we can use the formula width = length * tan(angle). Plugging in the values, width = 12 * tan(23°), width ≈ 5.05. Therefore, the dimensions of the rectangle are length = 12 and width ≈ 5.05.