You are hiking and are trying to determine how far away the nearest cabin is, which happens to be due north from your current position. your friend walks 220 yards due west from your position and takes a bearing on the cabin of n 21.2°e. how far are you from the cabin?
i've actually solved this, but i want to post the answer anyway :
the angle 21.2° is also the angle of the upper interior angle of the triangle (near the cabin). **see note below.
using the tan function with opposite = 220 yds and adjacent = x ,
tan(21.2°) = (opposite / adjacent)
tan(21.2°) = (220 yds / x)
x * tan(21.2°) = 220 yds
x = [ 220 yds / tan(21.2°) ] ≈ 567 yds

The chs baseball team was on the field and the batter popped the ball up. the equation b(t)=80t-16•16+3.5 represents the height of the ball above the ground in feet as a function of time in seconds. how long will the catcher have to get in position to catch the ball before it hits the ground? round to the nearest second

Ricky takes out a $31,800 student loan to pay his expenses while he is in college. after graduation, he will begin making payments of $190.66 per month for the next 30 years to pay off the loan. how much more will ricky end up paying for the loan than the original value of $31,800? ricky will end up paying $ more than he borrowed to pay off the loan.

Name and describe the three most important measures of central tendency. choose the correct answer below. a. the mean, sample size, and mode are the most important measures of central tendency. the mean of a data set is the sum of the observations divided by the middle value in its ordered list. the sample size of a data set is the number of observations. the mode of a data set is its highest value in its ordered list. b. the sample size, median, and mode are the most important measures of central tendency. the sample size of a data set is the difference between the highest value and lowest value in its ordered list. the median of a data set is its most frequently occurring value. the mode of a data set is sum of the observations divided by the number of observations. c. the mean, median, and mode are the most important measures of central tendency. the mean of a data set is the product of the observations divided by the number of observations. the median of a data set is the lowest value in its ordered list. the mode of a data set is its least frequently occurring value. d. the mean, median, and mode are the most important measures of central tendency. the mean of a data set is its arithmetic average. the median of a data set is the middle value in its ordered list. the mode of a data set is its most frequently occurring value.