PLEASE HELP! BRAINLIEST TO FIRST CORRECT! 1. For a particular area, the average temperature, y, in degrees Fahrenheit x days after January 1 is given by the function y=30sin(2π/365(x−89))+65. The average temperature of 45° occurs twice a year. Find the number of days after January 1 for each of these occurrences.

a. The average temperature is 45° 47 days January 1.

b. The average temperature is 45° both 50 days and 314 days after January 1

c. The average temperature is 45° both 47 days and 280 days after January 1.

d. The average temperature is 45° both 47 days and 314 days after January 1.

2. A plane takes off at an angle θ with respect to a horizontal runway. After the plane has flown 900 feet in the air, it has gained an altitude of 1,000 feet. Solve an equation to find the plane's angle of ascent, θ, to the nearest degree.

a. The equation sinθ=distance/altitude has a solution. The angle of ascent is 64°.

b. This situation is not possible because the equation sinθ=distance/altitude has no solution.

c. The equation tanθ=distance/altitude has a solution. The angle of ascent is 42°.

d. This situation is not possible because the equation tanθ=distance/altitude has no solution.