A50-foot flagpole is at the entrance of a building that is 300 feet tall. if the length of the flagpoles shadow is 30 feet at a certain time of day, how long is the building's shadow at that time?

The two triangles are similar because the angle of the sun is the same at the same time of day and (hopefully) both the flagpole and the building are upright making a right triangle with the ground. So all three angles of each triangle is equal to a corresponding angle of the other triangle. Since they are similar the sides are proportional to the corresponding sides in the other triangle, so height of flagpole / length of flagpole's shadow = height of building/ length of building's shadow. 50'/30' = 300'/x (5/3) x = 300' 5x = 900' x= 180'. Length of building shadow is 180 feet

What class is this? i have no idea and i'm not going to give you the wrong answer. do you have a graph that goes with all the questions

First step is to get rid of the square root. remember that a square root is the same as raising to the (1/2) power. see below: multiply exponents per exponent rules to get: remember you subtract exponents from the denominator and add exponents in the numerator so: simplify further: so a is the correct choice. if you don't understand this google exponent rules and it will you understand. look at the image results.