I don't understand how you're getting the Ax ## Diagram Explanation and Calculation### Diagram DescriptionThe provided diagram depicts a right-angled triangle where the following components are identified:- The hypotenuse (A) measures 1.5 km.- The opposite side (A_y) and the adjacent side (A_x) are the sides of the triangle with respect to the 45° angle. - The adjacent side (A_x) is given as -√2 km (approximately -20 km).- The opposite side (A_y) is to be determined. ### Point CoordinatesThe coordinates of the point are (x=0 km, y=1.06 km).### Given\[ A = 1.5 \, \text{km} \]\[ A_x = -20 \, \text{km} \]\[ \theta = 45^\circ \]### Problem1. To find the component \( A_y \).### CalculationTo determine \( A_y \):Using the sine function,\[ \sin(\theta) = \frac{\text{opposite}}{\text{hypotenuse}} \]\[ \sin(45^\circ) = \frac{A_y}{1.5 \, \text{km}} \]\[ \frac{\sqrt{2}}{2} = \frac{A_y}{1.5 \, \text{km}} \]Solving for \( A_y \):\[ A_y = \left( \frac{\sqrt{2}}{2} \right) \times 1.5\, \text{km} \]\[ A_y = \frac{1.5 \sqrt{2}}{2} \]\[ A_y \approx 1.06 \, \text{km} \]Thus,\[ A_y = 1.06 \, \text{km} \]This calculation shows that the vertical component \( A_y \) of the vector is approximately 1.06 km.### SummaryThe length of \( A_y \) obtained from the given diagram and calculations is:\[ \boxed{A_y = 1.06 \, \text{km}} \]

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Answered: I don't understand how you're getting…

Science

Physics

I don't understand how you're getting the Ax

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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