As a ship approaches the dock, it forms a 70 degree angle between the dock and lighthouse. At the lighthouse, an 80 degree angle is formed between the dock and ship. How far is the ship from the dock?

According to a study conducted in 2015, 18% of shoppers said that they prefer to buy generic instead of name-brand products. suppose that in a recent sample of 1500 shoppers, 315 stated that they prefer to buy generic instead of name-brand products. at a 5% significance level, can you conclude that the proportion of all shoppers who currently prefer to buy generic instead of name-brand products is higher than .18? use both the p-value and the critical-value approaches.