Answer: Yes, because the life tenant owes the holder of a remainder interest a duty to pay the property taxes.
Step-by-step explanation:
Based on the information given, the holder of the remainder interest can recover the tax payment from the life tenant because the life tenant owes the holder of a remainder interest a duty to pay the property taxes.
It should be noted that it's the obligation of life tenants to pay all ordinary taxes on the land as well as the interest on the mortgage. In a situation whereby an incime isn't produced by the property like in the scenario given in the question, then the life tenant will be responsible for the taxes and the interest on the mortgage to the extent of a reasonable rental value of the land.