You approach a hill on top of which there is a tall radio antenna. You know from your map that your horizontal distance from the bottom of the radio antenna is 600 feet. The angle of elevation to the bottom of the antenna is 10∘, and the angle of elevation to the top of the antenna is 25∘.

The length of the antenna is 174 feet.

Step-by-step explanation:

Given that the horizontal distance from the bottom of the radio aAntenna is 600 feet.

The angle of elevation to the bottom of the antenna is 10∘, and the angle of elevation to the top of the antenna is 25∘.

Let AB is the hill, BC is the antenna on the top of the hill, and point O is the viewer's eye as shown in the figure.

OA=600 feet

The length of the antenna = BC

From the figure, BC=AC-AB...(i)

Now in triangle AOB, we have

feet ...(ii)

Similarly, in triangle AOC, we have

feet ...(iii)

By applying the values from equation (ii) and (iii) in the equation (i), we have,

BC=279.8-105.8=174 feet

Hence, the length of the antenna is 174 feet.

the results from a pre-test for students for the year 2000 and the year 2010 are illustrated in the box plot. what do these results tell us about how students performed on the 29 question pre-test for the two years?

if we compare only the lowest and highest scores between the two years, we might conclude that the students in 2010 did better than the students in 2010. this conclusion seems to follow since the lowest score of 8 in 2010 is greater in value than the lowest score of 6 in 2000. also, the highest score of 28 in 2010 is greater in value than the highest score of 27 in 2000.

but the box portion of the illustration gives us more detailed information. the middle bar in each box shows us that the median score of 20 in 2000 is greater in value than the median score of 17 in 2010. further, we note that the box and whiskers divide the illustration into four pieces. each of these four pieces represents the same portion of students. so, the upper half of the students in 2000 scored in the same score range as the upper one-fourth of the students in 2010, see the illustration at a score of 20.

by considering the upper one-fourth, upper half, and upper three-fourths instead of just the lowest and highest scores, we would conclude that the students as a whole did much better in 2000 than in 2010. we would conclude that as a whole the students in 2010 are less prepared than the students in 2000.

in this section, we discuss box-and-whisker plots and the five key values used in constructing a box-and-whisker plot. the key values are called a five-number summary, which consists of the minimum, first quartile, median, third quartile, and maximum.

step-by-step explanation: