Suppose that triangle abc is a right triangle with a right angle at c and hypotenuse c. also note that a is the length of the side opposite angle a and b is the length of the side opposite angle b. given that a = 29 and a = 54∘, determine the values indicated below. round to four decimal places when needed.

At an oceanside nuclear power plant, seawater is used as part of the cooling system. this raises the temperature of the water that is discharged back into the ocean. the amount that the water temperature is raised has a uniform distribution over the interval from 10° to 25° c. what is the standard deviation of the temperature increase?