Roger is 5 feet tall and casts a shadow 3.5 feet long. at the same time, the flagpole outside his school casts a shadow 14 feet long. write and solve a proportion to find the height of the flagpole.

Consider the following points:

The triangles ABC and DEF are similar, because their are both right triangles, and we can assume that the sunlight hits both Roger and the flagpole with the same angle.

This means that the corresponding legs are in proportion, which means, in words,

If you plug the known values, and let x be the flagpole's height, you have

see below

step-by-step explanation:

7.   there are 10 data points in the set.   the middle point is between 5 and 6.   the middle point in the top half is 8   and the middle point in the bottom half is 3. to find the iqr , take point 8 and subtract point 3

mid term   point 8 = 100   point 3 = 88

iqr = 100-88 = 12

final   point 8 = 93   point 3 = 78

iqr = 93 - 78 = 15

the final has the greatest iqr

6.   b - there is a high data value that causes the data set to be asymmetrical for the males: the data for males are high and asymmetrical .   there is an outlier for the males that skews the data

5.   the   iqr is a better measure of spread for the movies and basketball games.   since the basketball game has an outlier, we do not want to use standard deviation for measurement.  

3.   the exam median is much higher than the class median.   the median line is farther to the right on the exams

2.   there is no way to tell what the means are from the box and whisker plots.  

this answer is !