A fireman needs to get water to a second-floor fire. His ladder is 30 ft long and he leans it against the vertical wall so that the top of the ladder is 27 ft above the ground. (a) Use trigonometry to find the angle formed between the ground and the ladder. Round to the nearest whole number and show all your work.

(b) For safety reasons, the fireman wants the angle the ladder makes with the ground to be no more than 70°
Will the ladder be safe the way it is positioned? PLEASE GIVE EXPLANATION!

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)