Solving Change in Altitude: Physics Homework Help

[ccdalamp]

I am just starting my physics course and am very lost as to how to solve this problem.
Please help...

Homework Statement

A certain mountain road is inclined 3.1 degrees with respect to the horizon. What is the change in altitude of the car as a result of it traveking 2.90 km along the road?

Homework Equations

The Attempt at a Solution

 

[hage567]

Did you draw a diagram? Think of a triangle.

 

[baba89]

I understand that solving problems in physics requires a solid understanding of the relevant equations and concepts. In this case, the problem involves the concepts of slope and distance. To solve this problem, we can use the formula for calculating slope, which is rise/run. In this case, the rise is the change in altitude and the run is the distance traveled along the road.

We also need to convert the given slope of 3.1 degrees to radians, which is 0.054 radians. Now, we can plug in the values into the formula: change in altitude = slope x distance.

So, the change in altitude = 0.054 x 2.90 km = 0.157 km. Therefore, the car's altitude will change by 0.157 km as it travels 2.90 km along the road.

It is important to remember to always use consistent units when solving physics problems. In this case, we used kilometers for both the distance and the change in altitude. I hope this helps you understand how to approach and solve problems in physics. Remember to always review the relevant equations and concepts before attempting to solve a problem. With practice, you will become more confident and proficient in solving physics problems. Good luck with your studies!