Anons might find this interesting.A bit dated (Oct '21), but still insightful.
Americans' Trust in Media Dips to Second Lowest on Record
Just as Americans' trust in the three branches of government is faltering, so too is their confidence in the fourth estate – the media. Confidence in the media among Republicans over the past five years is at unprecedented lows. After a brief recovery in trust among Democrats and independents early in the Trump administration, their trust has fallen off a little in recent years. Democratic trust remains well above where it was before Trump came into office and made attacks on the media a core message of his presidency.
https://news.gallup.com/poll/355526/americans-trust-media-dips-second-lowest-record.aspx
Americans' Trust in Government Remains Low
Americans' trust in many aspects of government in the U.S. is low – particularly among Republicans, who register some record lows with their party out of power in Washington. Independents' trust is also notably weak, and any increases in Democrats' trust appear to be tied to their party's control of the White House and Congress.
The sharply polarized nation is grappling with weighty issues, including the COVID-19 pandemic, the rocky end to the war in Afghanistan, the Supreme Court's action and inaction on controversial cases, the crisis at the southern U.S. border, and another potential government shutdown over raising the debt limit. Finding common ground is increasingly difficult in the U.S., but without it, trust in government will likely remain low and lopsided.
https://news.gallup.com/poll/355124/americans-trust-government-remains-low.aspx
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I don't know how much trust to place in polls (probably very little), but Gallup seems to be at least in the ball park of what I'd estimate the numbers to actually be.