today i am going to teach you how to find and angle of inclination. first you must know the formula before you can do it. the formula is: m=tan(alpha). you will be given a slope and then the steps will be given and followed in order to find the angle of inclination. alpha is also know as the angle inclination which would be good to know when follwing the steps to finding it. here is an example from one of the homework problems this week.
EX: find the inclination of the line
1) the line 3x + 5y = 8
first you find the slope by making this slope intercept form
y= -3/5x + 8/5
second is you right out your formula
m=tan(alpha)
third is solve for alpha
-3/5= tan(alpha)----take inverse of tan
alpha= inverse of tan (-3/5)
this =30.964
tan is negative in the 2nd and 4th quadrant
you get 149.036 and 329.036
convert to degrees minutes and second and u get:
inclination= 149 degrees 2' 6" and 329 degrees 2' 6"
that is all for today
No comments:
Post a Comment