Awoman is trapped in a burning building, 60 feet above the ground. to rescue the woman, a fireman places the bottom of a large ladder 40 feet from the base of the building. how long must the ladder be to reach the trapped woman?

Height of building =60 feet (where woman is trapped)

distance of bottom of ladder from base of building = 40 feet

This makes a right angled triangle as shown in figure.

here hypotenuse =length of ladder

base = distance of bottom of ladder from base of building = 40 feet

perpendicular =Height of building =60 feet (where woman is trapped)

So here we can use Pythagoras theorem to find the length of ladder.

Hypotenuse² = base² + perpendicular²

height of ladder = √(60² +(40)² = √3600 +1600 = √5200

height of ladder = 72.1 feet

large crystals result from very slow cooling.

evaporation of water: this would produce an evaporite which is a sedimentary rock. like a salt pan in a desert. not possible to have volcanic rocks originate this way.

crystalization in molten earth: slow cooling over time. (hundreds to millions of years)

crystalization at earth's surface: this results in fast cooling. (a few hours to a few months or years)

crystalization from cooling off hot water: that would be a hydrothermal deposit. while associated with volcanics they are not volcanic rocks themselves and usually occur fairly rapidly.