A shell casing has been found in the street at the scene of a murder. A signpost and a mailbox are nearby. The distance from the signpost to the front , right leg of the mailbox is 6. The angle from the shell casing to the front, right leg of the mailbox to the signpost is 55. The angle from the shell casing to the sign post to the front, right leg of the mailbox is 30^ . What is the distance from the shell casing to the front, right leg of the mailbox? (b) What is the distance from the shell casing to the signpost?

Farmers know that driving heavy equipment on wet soil compresses the soil and injures future crops. here are data on the "penetrability" of the same type of soil at two levels of compression. penetrability is a measure of how much resistance plant roots will meet when they try to grow through the soil. compressed soil 2.85 2.66 3 2.82 2.76 2.81 2.78 3.08 2.94 2.86 3.08 2.82 2.78 2.98 3.00 2.78 2.96 2.90 3.18 3.16 intermediate soil 3.17 3.37 3.1 3.40 3.38 3.14 3.18 3.26 2.96 3.02 3.54 3.36 3.18 3.12 3.86 2.92 3.46 3.44 3.62 4.26 use the data, omitting the high outlier, to give a 95% confidence interval for the decrease in penetrability of compressed soil relative to intermediate soil. compute degrees of freedom using the conservative method. interval: to