A 50 foot ladder is set against the side of a house so that it reaches up 30 feet. If Alonso grabs the ladder at its base and pulls it 5 feet farther from the house, how far
up the side of the house will the ladder reach now? (The answer is not 25 ft.) Round
to the nearest tenth of a foot.

You drop a rubber ball off the roof of a 50 meter high building onto a paved parking lot. it bounces back up with every bounce, but not quite all the way back up to you. after the first bounce it bounces back only 80 percent of the distance it was dropped from. the pattern continues, meaning after every bounce it comes up to just 80 percent of the previous maximum height. so if before the first bounce the height is 50 meters, what height does the ball reach after the fifth bounce? round your answer to one decimal place and chose the correct response from the choices below:

3382-299=3383- ? fill in the blank?

Prove the converse of the pythagorean theorem using similar triangles. the converse of the pythagorean theorem states that when the sum of the squares of the lengths of the legs of the triangle equals the squares length of the hypotenuse, the triangle is a right triangle. be sure to create and name the appropriate geometric figures.