An outdoor staircase has a total vertical elevation of 21 feet from the road level to the first floor. The 1st floor to the 2nd floor is also 21 feet. If the angle of elevation is 32 degrees and the landing of each step is 12 inches, answer the following questions showing each step of your work: a) What is the vertical rise per step (in inches, rounded to the nearest inch)?

Reduce fractions expressing probability to lowest terms. in 3,000 repetitions of an experiment, a random event occurred in 500 cases. the expected probability of this event is?

In each of the cases that follow, the magnitude of a vector is given along with the counterclockwise angle it makes with the +x axis. use trigonometry to find the x and y components of the vector. also, sketch each vector approximately to scale to see if your calculated answers seem reasonable. (a) 50.0 n at 60.0°, (b) 75 m/ s at 5π/ 6 rad, (c) 254 lb at 325°, (d) 69 km at 1.1π rad.

Ade and abc are similar. which best explains why the slope of the line between points a and d is the same as the slope between points a and b?