Projectile Problem: Find "d" on 10° Incline

[James22]

Homework Statement

There is the question I am having trouble with. All the data is given in the image. I am to find "d". The slope being on an angle is what is throwing me off. It would be simple enough if the ground was perfectly horizontal, but I am not sure how to handle the 10 degree incline.
My first thought was to make it as the golf ball was hit horizontally and at an angle of 55 degrees. I am not sure how to figure out the distance "d" though.

Any help would be greatly appriciated

Homework Equations

s=vot + 1/2 at^2

v=vo + at

V^2=vo^2 + 2as

The Attempt at a Solution

I am not sure where to start.

 

[Andrew Mason]

Find the horizontal speed. Determine the height at B. Plug that time into your equation for height: h = v_yt - .5gt^2 to find the time of flight. Put that value of t into your equation for horizontal speed.

AM

 

[James22]

Thanks for the reply.

I have the horizontal speed as 80cos55 = 45.89ft/s

I am unsure of how to calculate the height at which the ball hits the ground. Could someone shed some light as to how I would go about this.

Thanks in advance.

 

[Andrew Mason]

The height divided by the horizontal distance traveled (v_xt) is tan(10).

This equation for h, combined with h = v_{0y}t -\frac{1}{2}gt^2 gives you two equations and two unknowns. So you can solve for t.

AM