Someone told me they are pronounced like "и", but when I listen to sound files on wiktionary.com, they are pronounced like "ш/ч"?
For example the word "горячий" is pronounced according to wiktionary something like "горячих"
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You can find examples of the Russian pronunciations word "горячий" on this page:
Even though jot is weakened in the absolute end, it could barely be considered right to pronounce it like German pronounce -ig in adjectives and -ch. Weakened jot is a middle-tongue fricative sound, whereas -хь (or German -ch as well) is actually closer to be an affricat from the sound and Russian "х".
The one who told you that it's pronounced like -и, is mistaken but I could understand why: the last й is often weakened when in absolutely final position but you still can't skip it totally.
What you took for a щ is actually a voiceless й (an [ç], something roughly similar to хь, phonetically speaking). As far as I know, such pronunciation is not considered as a norm but is not erroneous, either. To me it's a bit archaic, though.