Mathematics, 31.07.2019 00:00 19greenlymoos

Anna has a 10 foot long ladder that she is going to rest against a vertical wall along the bottom of a window still that is 8.5 feet above the ground. the safety code recommends that the angle the ladder makes with the ground be no greater than 65 degrees. will the ladder be safe resting on the window still? draw a diagram and show work to support your answer

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As you can see in the picture, the ladder leaning against the wall makes a right triangle with the sides being the wall, the ground and the ladder. The ladder is opposite the right angle and so is the hypotenuse (the longest side of the triangle). The angle between the ladder and the ground is labeled a.

We know the height of the ladder (10 feet) and also the height off the ground of the windowsill (8.5 feet). That second side is opposite the angle a. So, when we consider angle a we know the length of the side opposite and of the hypotenuse.

Recall the sin of an angle can be found by using (opposite/hypotenuse).

So we have: sin a = 8.5 / 10. That is, sin a = .85
We are looking for the angle whose sin is .85 and can find this using the inverse sin function.

$sin^{-1}.85=a$
a is approximately 58.211669 degrees which is less than the 65 degrees and so safe.

Just to be on the safe side, I remind you that your calculator must be in degrees (not radians) to do this problem.

Anna has a 10 foot long ladder that she is going to rest against a vertical wall along the bottom of

Anna has a 10 foot long ladder that she is going to rest against a vertical wall along the bottom of

Answer from: Quest

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:

Answer from: Quest

96 39 cause 135 -96=39 im smart (i used a calculater)

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Anna has a 10 foot long ladder that she is going to rest against a vertical wall along the bottom of...