Megamind

Destruction Worker is the boss of level 3. For the trophy to unlock you just need to defeat the boss without dying. Here is the method I used:

First since you do not regain life while playing, the point of no return is when you are making your way through the remnants of the destroyed building. If you don’t have close to full health, let these guys kill you before moving on to the boss. This will restart you with full life right before the boss fight. If you die during the boss fight the trophy will NOT unlock.

At the start, just stand there and shoot the goons coming down the ramp. The boss will now spray the area with 5 shots so just avoid them by walking or jumping between 2 of them. He will now shoot at some crates that are above you. Just run around to avoid the falling crates. Finally, he will operate a wrecking ball and try to drop it on you. Let the wrecking ball lock onto you and then get out of the way before it drops. There is a slight shake to let you know when to move.

Now the ball will reset, so quickly grab the dynamite and start walking to the blue circle on the ground in front of the boss. When you see the wrecking ball coming at you again, drop the dynamite and get out of the way. You will only be able to take a few steps each time. Once it resets, pick up the dynamite again and keep moving toward the boss. Repeat as needed. Note: It is possible to walk all the way to the front without dropping the dynamite if you want to try. Thanks for the tip Rawkkiddo.

When you finally place the dynamite, run to the button behind you and press it to detonate the charge. Now more goons start coming down the ramp again so just repeat the entire process 2 more times and you will have him beat.