Straight hit the golf ball

You would get nothing inside a long hitters head faster than a fairway hitting opponent. Because the chances are not easy to have a long hitter to keep the accurate driver of the golf ball, as you can keep the heat on by hitting the fairway as you can. And also you need to use a hybrid club or a iron off the tee to keep the ball along the fairway, don't let the fairway outweigh the loss of distance and keep the mental edge of hitting.

Hit the green

Most of if not all of the time you will be hitting first, keep the heat on by hitting the green If he knows you are looking at birdie putts all day, it starts to wear on him.

Have a good short game

The short game is the true equalizer on the golf course. If you have a sharp short game you can compete against any golfer on the planet.

Ignore his distance

Accept the fact the he hits the ball 50 to 60 yards past you. If you accept the fact that distance doesn't matter, you will have another psychological advantage. What difference does it make if he is hitting a pitching wedge and you are hitting a 7 iron for your second shot?

Golf is all about getting the ball in the hole in the fewest strokes, not how you got the ball in the fewest strokes.

When you are playing a match against a long hitter, and lets face it, with the technology in golf clubs, golf balls, strength training and nutrition, guys are hitting the ball 300 plus yards on a regular basis.

The fact still remains that when you are on the golf course you are walking (or riding) with a bag of tools. It is just a matter of using the right tool for task at hand. Does it really matter what club it takes you to hit a golf ball 150 yards? Weather it's a 6, 7,8 or 9 iron should not matter to you, and your opponents club selection should be the last thing from your mind during a match.

The pride of the long hitters game is hitting it long, so the fact that you can compete with him without having to hit the 300 yard drives is already a advantage in your favor if you choose to look at it that way. As a short hitter you should focus on keeping the pressure on as much as possible.