Grace is standing 14 feet from a lighthouse and kelly is standing 12 feet from grace. the angle that grace looks up to see the top of the lighthouse is 45°. the angle that kelly looks up to see the top of the lighthouse is y°. a.) find the height, h, of the lighthouse. b.) find the angle, rounded to the nearest tenth of a degree, in which kelly looks up to the top of the lighthouse. c.) to the nearest tenth of a degree, find the value of x° . in two or more sentences, explain your calculations

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 a. at what time does the particle reverse direction? b. when is the displacement positive? (round one decimal place and answer in interval notation) c. when is the displacement negative? (round one decimal place and answer in interval notation) d. when is the particle’s acceleration positive? (round one decimal place and answer in interval notation) e. when is the particle’s acceleration negative? (round one decimal place and answer in interval notation)