ST = 7.2
RT = 4.04
m∠S = 34°
Solution:
Given ΔRST is a right triangle.
RS = 6, ∠T = 56°
1.206 × 6 = ST
7.236 = ST
ST = 7.2
0.674 × 6 = RT
4.044 = RT
RT = 4.04
To find the measure of angle S.
Sum of the interior angles of the triangle = 180°
m∠R + m∠S + m∠T = 180°
90° + m∠S + 56° = 180°
m∠S + 146° = 180°
m∠S = 180° – 146°
m∠S = 34°
For this case we have that by definition, the equation of the line in the slope-intersection form is given by:
Where:
m: It's the slope
b: It is the cut-off point with the y axis
According to the figure, the line goes through the following points:
We found the slope:
By definition, if two lines are perpendicular then the product of their slopes is -1:
Thus, the equation is of the form:
If the line goes through we have:
Finally, the equation is:
Algebraically manipulating we have:
Answer:
Option A
