The Carson City Mint did not open until the 1870s. In fact, Nevada was part of the Spanish Empire in 1797 so it could not have had a U.S. mint regardless.
Please check your coin again and post a new question if the date or mint mark is different.
Also, be aware that especially if it's a dollar or half-dollar, there has been a flood of counterfeits over the last couple of decades. Most are made in the Far East; some are very good and others are laughably bad with impossible dates, designs, or mint marks. For ex., a couple of years ago I saw a purported "rare Washington quarter" with the date 1865! There was just one word for it - FAKE.
Carson City Morgan dollars were issued for many years. Each coin has its own value based upon the year it was minted and the condition of the coin.
Sorry no such coin, look at the coin again
Please check your coin again. The Carson City Mint closed in 1893.
Sorry no Carson City mint marks in 1887 on a Morgan dollar. Look at the coin again.
Please look at the coin again. The last Carson-City Morgan was struck in 1893.
The Carson-City Mint did not strike any coins in 1886. Look At the coin again and post new question.
Its value would depend upon which coin it was and its condition.
In order to give an accurate estimate of value of any coin the date on the coin must be known.
Please post a new, separate question with the coin's denomination.
1893 was the last year a Morgan dollar was struck at the Carson-City Mint. Look at the coin again and post new question.
Sorry, The Carson-City Mint struck no coins dated 1887.
Please check your coin again. The Carson City Mint closed in 1893.