Pythagorean Theorem The bottom of a ladder must be placed 3 feet from a wall. The ladder is 12 feet long, how far above the ground does the ladder touch the wall?

Aplane is taking off from bangladesh headed to new york city. at the same time, a plane from new york city is headed to bangladesh is also taking off. the plane bound to new york city is traveling at 600 mph, while the plane traveling to bangladesh is traveling at 400 mph. how far from new york city will the two planes meet if the distance between new york city and bangladesh is 8,000 miles?

How to do this , and can some one explain

Solve each equation using the quadratic formula. find the exact solutions. 6n^2 + 4n - 11