A roller coaster travels 38.9m at an angle of 37.3°. How far does it go horizontally and vertically? Ax = Ay = %3D
A roller coaster travels 38.9m at an angle of 37.3°. How far does it go horizontally and vertically? Ax = Ay = %3D
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Transcribed Image Text:**Question 3:**
A roller coaster travels 38.9 meters at an angle of 37.3 degrees. How far does it go horizontally and vertically?
- \(\Delta x =\) ___________
- \(\Delta y =\) ___________
**Explanation:**
This problem involves basic trigonometry to resolve the roller coaster's displacement into horizontal (\(\Delta x\)) and vertical (\(\Delta y\)) components. The horizontal distance can be calculated using the cosine of the angle, and the vertical distance using the sine of the angle.
1. **Horizontal Component (\(\Delta x\)):**
- Use the formula: \(\Delta x = \text{distance} \times \cos(\text{angle})\)
2. **Vertical Component (\(\Delta y\)):**
- Use the formula: \(\Delta y = \text{distance} \times \sin(\text{angle})\)
Students should apply these formulas to find the precise values of \(\Delta x\) and \(\Delta y\).
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