The Grand Canyon Skywalk at Eagle Point is a horseshoe shaped steel frame with
glass floor looking down to the Grand Canyon below. The Skywalk extends 70 feet
over the canyon rim and is 10 feet wide. The walkway consists of a semicircle with a
straight portion on each side as indicated in the diagram below.
Path Width
10 feet
Outer Circle
65 feet diameter
Imer Carcle:
45 feet diameter
65 feet
70 feet
A lightower is going to be installed on the left edge of the Skywalk as indicated in the diagram below. The light will shine down to the opposite edge of the skywalk indicated with the star in the diagram. How tall does the light tower need to be if the angle of depression is 51 degrees?
(Round your final answer to 1 decimal place and include units)

step-by-step explanation:

the shape,the size and the distance

include a picture of the drawing in order for me to

step-by-step explanation:

explanation:

step-by-step explanation:

irst, find the z score of a score of 80. this is given by the formula z = (x-u)/o, where x is the score, u is the mean, and o is the standard deviation. this gives

z = (80-78)/12 = 1/6 = .1667

now, find what percentile a z score of 1/6 correlates to in the normal distribution.

a z score of 1/6 = .1667 is equivalent to the 56.36th percentile of the distribution. so the probability a score is over this is 1-.5636 = .4364

the mean of a sample mean is equal to the original mean. however, the standard deviation of a sample mean is equal to the original standard deviation divided by the square root of n (sample size). so the new standard deviation is 12/sqrt(16) = 3.

the new z score is 80-78/3 = 2/3 = .667. this is equivalent to the 74.86th percentile. so the probability that the mean will be greater than this score is 1-.7486 = .2514.