Question

trail 3 (swift fox)

1. a. write a plan of attack. how are you going to find the grade of trail 3 (swift fox)

the plan of attack must include the following:

• list of information you need to find to solve the problem
• explanation of your plan of attack, which includes

○ how to find the unknowns
○ why you need each unknown
hint: slope = \\( \frac{rise}{run} \\) and slope = tan (a)

Explanation:

To find the grade of Trail 3 (Swift Fox), we need to determine the slope. The slope can be calculated using the formula \( \text{slope}=\frac{\text{rise}}{\text{run}} \) or \( \text{slope}=\tan(A) \). First, we need to find the value of angle \( A \) or the values of rise (\( h \)) and run. If we can find angle \( A \), we can directly calculate the slope using \( \tan(A) \). If we find the rise (\( h \)) and run (let's assume the run adjacent to angle \( A \) is \( x \)), then slope \(=\frac{h}{x}\).

Answer:

We need to find either angle \( A \) (to use \( \text{slope}=\tan(A) \)) or the values of rise (\( h \)) and run (\( x \)) (to use \( \text{slope}=\frac{h}{x} \)). If we find angle \( A \), we use the trigonometric function \( \tan \) to get the slope (grade). If we find \( h \) and \( x \), we use the basic slope formula \( \frac{\text{rise}}{\text{run}} \).