Question

You shoot an arrow 15-degrees above horizontal, y-meters above ground, towards downhill. The ground is slanted on a 20-degree slope. If the arrow's initial velocity is 50m/s, how do you find the vertical distance between you and the place where the arrow landed?

Answer 1

the distance between you and the landing place is a little trig trigonometry



you are looking to find h...

Use your knowledge of projectiles

you need the horizontal distance or range of the arrow...

there is an equation for range of the arrow...

but I would do this.

1. find the vertical and horizontal displacement equations.

2. find the time of flight. Which means lettign the vertical displacement = 0
then solving for t.

3. using your value of t, substitute it into the horizontal displacement equation
to get the range of the arrow.

Answer 2

now use an appropriate trig ratio.