The train will arrive at platform 10.

Literal

Train [topic-は] 10-number platform [at-に] arrives.

ホーム ('platform') is a shortened loanword from English 'platform' (via プラットホーム). The number 10 functions as a modifier with 番 ('number') as the suffix: 10番ホーム = 'number-10 platform.' The polite 到着します is standard station-announcement register.