Yes, both are tangible assets, but this fact does not determine whether interest is deductible. Instead, you can deduct interest if it is a business expense, and there is a separate rule for homes. Apart from home loan interest, interest paid for personal, non-business expenses is not deductible.
For example, if you owned a delivery business and you bought a delivery truck on credit for use exclusively in your business, you could deduct the interest payments on the truck loan. But that's not because the truck is a tangible asset; it's because the truck is used in your business.
Congress created an exception for interest paid on home loans. You can deduct that interest even though it's not a business expense. That's because Congress wants to encourage home ownership.
Whether an asset is tangible or intangible has nothing to do with whether the interest payment is deductible. Banks, for example, can deduct interest paid on their loans because banks are in the business of taking out and making loans. They can do this even though there is no tangible asset involved.