Mislead
You become
invisible at the same time that an illusory double of you appears
where you are standing. The double lasts for the duration, but the
invisibility ends if you attack or cast a spell.You can use your
action to move your illusory double up to twice your speed and make it
gesture, speak, and behave in whatever way you choose.You can see
through its eyes and hear through its ears as if you were located
where it is. On each of your turns as a bonus action, you can switch
from using its senses to using your own, or back again. While you are
using its senses, you are blinded and deafened in regard to your own
surroundings.
Is the illusory double tangible? Based on previous answers (this and this), I think not but I am not completely sure.
Best Answer
Illusion spells are not tangible in general.
The mislead spell creates an "illusory double," so we can look at the description of the Illusion school of magic for more insight (see Casting a Spell in the SRD, emphasis mine):
Since the illusion created by mislead is not really there, it has no physical presence. It could not be touched or bumped into, so it is literally not tangible.
Some illusion spells might create illusions that are tangible, but if they do then we would expect them to explicitly state that they are exceptions to their school of magic. Since mislead does not state any exception, we have no reason to think that it is one. In addition, if it was possible to physically interact with the illusory double, we would expect that the designers would call it an object or a creature, but in the absence of either of those words we must simply assume it to be an effect that behaves exactly as described.
(This is under the interpretation of the word "tangible" meaning "material or substantial." That is, tangibility is an inherent property of a thing regardless of who is or is not perceiving it.)