Final answer:
To solve for x and find the measure of ∠A, we use trigonometry to find the x-components of vectors A and B given their magnitudes and angles. Ax is calculated as Ax = A cos θ, but more context is needed for a definitive solution.
Step-by-step explanation:
To solve for x and find the measure of ∠A, we need to analyze the components of vectors A and B. Given that A has a magnitude of 53.0 m and an angle of 20.0°, and B has a magnitude of 34.0 m and an angle of 63.0°, we use trigonometry to find the x- and y-components of these vectors.
- The x-component of A (Ax) is found by: Ax = A cos θ, where θ is the angle of vector A with respect to the x-axis.
- Then, to find the measure of ∠A, we would utilize the inverse trigonometric functions if necessary, based on the context provided in the complete question.
Without additional context or the complete problem, we cannot provide a definitive solution for x or the measure of ∠A. The information given is insufficient to complete the problem.
The complete question is: Solve for x. Then, using that information, find the measure of ∠A. is: