3) One side of a right triangle is known to be 20 cm long and the opposite angle is measured as 30 degrees, with a possible error of 1 degrees.

(a) Use differentials to estimate the error in computing the length of the

hypotenuse. (Round the answer to two decimal places.)

(b) What is the percentage error? (Round the answer to the nearest whole number.)

4) A ferris wheel with a radius of 13 m is rotating at a rate of one revolution every 2 minutes. How fast is a rider rising when the rider is 18 m above ground level?