please solve the following two problems:

A 14ft ladder leans against a wall at an angle 6 with the horizontal, as shown in the accompanying gure. The top of the ladder is x feet above the ground. If the bottom of the ladder is pushed toward the wall, nd the rate at which x changes with respect to 6 when 6 = 45. Express the answer in units of feet/degree. Round your answer to two decimal places. C! Find the equation of the line tangent to the graph of y = sin x at the following values of x. NOTE: Enter the exact answers. (ax= 87 Equation: (b) x = 97 Equation: (c) *= 1 Equation