from a boat on the lake the angle of elevation to the top of a cliff is 18°41’. if the base of the cliff is 991 feet from the boat how high is the cliff (to the nearest foot)

The cliff is 335 feet tall.

Step-by-step explanation:

First you convert the angle to degrees and you get 18.683 degrees.

Then you set up the equation where x is the height of the cliff.

Tan(18.683) = (x/991)

Then you solve for x and you get 335 ft when your ound to the nearest whole number.

step-by-step explanation:

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is           symmetric about the line y = 120,000.

step-by-step explanation:

given that megan owns a clothing boutique.

the profits of 2010, 11, are recorded and shown as follows:

years since     2010 0     1     2     3       4       5

profits made in 1000's   39       84     111     120   111     84

we find that profit gradually increases form 2010 to 2013 upto 120,   then starts decreasing.

the profits for 2012 and 2014 are the same while that of 2011 and 2015 are also the same.

this shows that there is symmetry about the line profit = 120000

hence answer is:

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is           symmetric about the line y = 120,000.

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1/4 because there is 4 grades.