‘Like something out of a horror movie’: New York flooding causes millions of dollars’ worth of damage.

Residents began digging — and drying — out from a spasm of severe flash flooding in New York’s Hudson Valley on Monday, as officials estimated that the damage would likely run into the tens of millions of dollars.

The storms that soaked Orange County, about an hour north of New York City, were being blamed for one death: a 35-year-old woman who was swept away by rising waters while she tried to save herself and her dog.

Speaking at a news conference on Monday in Highland Falls, a riverside village that sits adjacent to West Point, Gov. Kathy Hochul said that such tragedies were becoming increasingly common in the state, which had already suffered through deadly blizzards last winter and dangerous smoke from Canadian wildfires last month.

“We are in the midst of an extraordinary, extraordinary weather event that has just devastated communities throughout the Hudson Valley,” said Ms. Hochul, a Democrat.

She called on residents to use “every bit of our power” to “fight the ravages of climate change.” “Because again,” she said, “these are unprecedented weather events that keep hitting us over and over and over again.”

Ms. Hochul said that more than eight inches of rain had fallen in some locations, with widespread flooding both in the Hudson Valley and the state’s Finger Lakes region, where Ontario County — like Orange County — remained under a state of emergency declaration.

She said that she had spoken with the White House and federal emergency officials who had offered “all the help necessary” to rebuild from the damage. Steven M. Neuhaus, the Orange County executive, estimated the effort would cost tens of millions of dollars, though he cautioned that figure could increase.

“This costs a lot of money,” he said.

Sections of major roads and highways were closed on Monday morning, including the Taconic State Parkway and the Palisades Parkway, snarling commutes for thousands. But officials also said dozens of water rescues had been undertaken and that all missing people had been accounted for.

And while rain continued to fall in some northern portions of the state on Monday, Ms. Hochul said the “bull’s-eye” of the storm had moved northeast.

Still, evidence of the storm was everywhere, with downed tree limbs, streets littered with rocks, and sudden streams forming alongside — and across — roads. Bent fences and waterlogged front lawns were the norm, with small bridges clogged with flotsam and closed because of the destabilizing impact of so much charging water.

Officials said that the historic Popolopen Bridge — an important local crossing — had been damaged and could remained closed for “some time.” A wastewater plant had also been “compromised,” according to Mr. Neuhaus, as had cargo train tracks in about 10 locations.

In Highland Falls, a local brook burst from its banks on Sunday as trees and limbs clogged culverts, sending water and mud pouring down Main Street.

A resident at a local housing development, Katherine Dagaev, said she was rescued through her first-story window as water rushed in.

“It kept rising and rising,” said Ms. Dagaev, who walks slowly because of a disabled right leg. “The water actually forced the door open and it all came flooding in.”

In a community closely tied to the military, the sight of volunteers in fatigues was common. Peter Deverin, a 20-year-old R.O.T.C. cadet, helped scoop mud and mangled tree limbs off Main Street on Monday with a friend, John Venino, also 20.

The two had been caught in teeth of the storm during a drive on Sunday — the rain “just kept getting harder and harder and harder,” Mr. Deverin said — and seemed grateful to have survived.

“Boulders were flying off the side of the mountain, cars were being swept across the street,” Mr. Deverin said. “It looked like something out of a horror movie.”