What is the rise of Jade’s stride? What is the slope and what does it mean in this problem?

Question

Tara and Jade are hiking up a hill together. Each has a different stride. The run for Tara’s stride is 32 inches, and the rise is 8 inches. The run for Jade’s stride is 36 inches. What is the rise of Jade’s stride? What is the slope and what does it mean in this problem?

Answer 1

Answer 2

Since they're hiking up the same hill, the slope will be the same for both hikers (because it's the incline of the hill itself). So, we can set up a simple equality.

T_y/T_x = J_y/J_x

Where T_y is the rise of Tara's stride, T_x is the run of Tara's stride, and so on.

Solving for Jada's rise, gives J_y = J_xT_y/T_x