Answer:
Step-by-step explanation:
(i) y = 3x
m = 3
Slope of the line perpendicular to line (y = 3x) = -1/m = -1/3
Equation of the line through origin : y = mx
(ii) Form of the equation of all lines which are perpendicular to y = 3x is
c is y-intercept
Answer:
51.7661748226 degrees; 38.2338251774 degrees
Step-by-step explanation:
First, draw a diagram to illustrate this situation. Looking at angle A, Eric's height, 1.65 m, corresponds to OPPOSITE, and Eric's shadow, 1.30 m, corresponds to ADJACENT. Using SOH CAH TOA, the equation is:
tan(A) = 1.65/1.30
A = arctan(1.65/1.30)
A = 51.7661748226 deg
Looking at angle B, 1.65 m is ADJACENT and 1.30 m is OPPOSITE. Therefore, the equation is:
tan(B) = 1.30/1.65
B = arctan(1.30/1.65)
B = 38.2338251774 deg
