Josie spots her brother Dan from the roof of a block of flats. The angle depression from Josie to Dan is 45 degrees. The distance from Josie directly to Dan is 80 metres. Calculate the height of the block of flats. Give your answer correct to 2 decimal places.

Need now max recorded the heights of 500 male humans. he found that the heights were normally distributed around a mean of 177 centimeters. which statements about max’s data must be true? a) the median of max’s data is 250 b) more than half of the data points max recorded were 177 centimeters. c) a data point chosen at random is as likely to be above the mean as it is to be below the mean. d) every height within three standard deviations of the mean is equally likely to be chosen if a data point is selected at random.

Select all the statements that apply to this figure

The coordinate grid shows a pentagon. the pentagon is translated 3 units to the right and 5 units up to create a new pentagon. what is the rule for the location of the new pentagon?