Answer:
The values of x and y are 23.83 and 31.1.
Step-by-step explanation:
Given that,
Perpendicular = 20 units
Angle, 
We need to find the values of x and y.
Using trigonometry,

To find y use Pythagoras theorem,

So, the values of x and y are 23.83 and 31.1.
9514 1404 393
Answer:
y +2 = (1/4)(x +1)
Step-by-step explanation:
The given line is in slope-intercept form:
y = mx + b
where the slope (m) is -4 and the y-intercept (b) is +13.
For the perpendicular line, we need a slope that is the opposite reciprocal, or ...
-1/m = -1/(-4) = 1/4
A suitable form for the desired equation is the point-slope form:
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
For m=1/4 and (h, k) = (-1, -2), the equation of the line is ...
y +2 = (1/4)(x +1)
2(2x - 5) = 3x + x - 2x
Distribute the 2.
4x - 10 = 3x + x - 2x
Combine like terms.
4x - 10 = 2x
Subtract 4x from both sides.
-10 = -2x
Divide by -2.
5 = x
x = 5