A 10-foot long ladder leans against a vertical wall such that its base is 4 feet from the bottom of the wall. Determine, to the nearest tenth of a foot, how high, h, the ladder reaches up the wall.

You are responsible for designing a new city. you are inspired by pierre charles l'enfant, who laid out the streets of our nation's capital. numbered streets run north and south, and lettered streets run east and west. avenues are named after states, and they intersect the streets on a diagonal. the streets are parallel and the intersections form similar triangles. 18th st. is 454 meters long and the intersection of 18th and k st. is 207 meters from connecticut ave. if 19th st. and k st. is 385 meters from connecticut ave., what is the length of 19th st.?

Write and solve a real word problem that involves determining distance on a coordinate plane

For what values of the variable x is the expression square root of 7x+14+ square root of 7-x a real number?