P(4,-6), y= -3

write an equation of the line that passes through point p and is perpendicular to the line with the given question.

The equation of the line that passes through point P(4,-6) and is perpendicular to the line y = -3 is x = 4

The slope-intercept form of the equation of a line is:

y  =  mx  +  c

where m is the slope

c is the y-intercept

The equation of the given line is:

y  =  -3

Comparing y = -3 with y = mx + c

The slope, m = 0

This means that, y = -3 is a vertical line

Any line that is perpendicular to y = -3 will be a perpendicular line

Since the perpendicular line passes through the point P(4, -6), the equation of the perpendicular line is:

x   =  4

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answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,