Mount Rainier, the tallest mountain in Washington State was once only 14,410 feet tall. Then it was measured by satellite and is now 14,411 feet tall. Enumclaw, Washington is commonly referred to as the gateway to Mount Rainier. The drive is always scenic. Often, you will see deer and even sometimes elk as you drive up to the mountain from Enumclaw. Enumclaw is located about an hour from Seattle and about 45 minutes from Tacoma. Enumclaw is a city in King County, Washington. The population was 10,669 at the 2010 census. (5 comments)