If cleared to a 35 mile DME fix on the Boomer TACAN 090° radial, what should your initial no-wind heading be?

When you are cleared to a DME fix on a specific radial, your initial no-wind heading should be adjusted based on the radial you are following. In this case, you are on the 090° radial from the Boomer TACAN. The radial indicates the direction you are flying away from the station.

To determine the no-wind heading, you need to consider the track to the DME fix. Since you are flying along the 090° radial, to reach the DME fix located at 35 miles, your intended track would generally be the same as the radial. However, to account for the fact that you will be flying toward the DME fix, you would need to add 30 degrees to your course. This accounts for typical navigation adjustments.

Thus, starting from the 090° radial and adjusting it leads to the initial no-wind heading being 120°. This adjustment ensures that you will arrive at the DME fix accurately, assuming no wind correction is required.