Well you are given the equation so let's plug in for kaylib and see how many miles she can see
distance = sqrt [(3 * height) / 2]
d = sqrt [(3 *48) / 2]
d = sqrt (144 / 2)
d = sqrt (72)
d = sqrt (3 * 3 * 2 * 2 * 2)
d = 6 * sqrt (2)
You you did not list Addisons height but I will say she is at x feet above sea level. we plug in x for height:
d = sqrt [(3x) / 2]
It it says how much farther for Addison which means she can see farther. to find difference we just subtract kaylibs distance from Addison. so:
sqrt [(3x) / 2] - 6 * sqrt (2)
plug in your x and use a calculator to get a decimal approximation
Find all solutions for w by breaking the absolute value into the positive and negative components.
w = 7, -1
Hope this helps! :)
When rolled 4 times, each time has a probability of 1/6
So the problem would be (1/6)^4.
Use the law of Cosines where
angle A = 14+22=36 degrees
side b = 6 times 7
side c = 6 times 19
So you have a triangle with 2 legs of 42 and 114 with angle A = 36 degrees between them.
The law of Cosines is then
a^2 = 42^2 + 114^2 - 2(42)(114)Cosine(36)
Solve and take the square root.
= 7012.85 taking the square root of it
= 83.74 km apart
