Misplaced and Dangling Modifiers ACT Practice

My great-grandfather fancied himself quite an inventor on my mother's side. Where should the underlined portion be placed?

As a young man, the radio was a new invention.

Great-grandfather Seth talked over ideas with cows doing his chores. Where should the underlined portion be placed?

Pounding and hammering, the night was filled with loud sounds.

Covered with dirt and hay, the barn door opened to reveal a triumphant Seth. Where should the underlined portion be placed?

Gleaming through the dusty haze, he pointed to his new invention. Where should the underlined portion be placed?

Sir George Cayley invented the first successful glider. His coachman was the first pilot.

The coachman was persuaded to get into the glider at the top of the hill with soothing words. Where should the underlined portion be placed?

Cayley gave the machine a hard shove once the coachman was inside the glider.

Cayley watched the machine take off rolling down the hill at 25 mph.