Find the equation of a line that passes through the point (4,2) that is perpendicular to the line y = x.

hmmm what's the slope of y = x?  well, let's notice is already in slope-intercept form, so y = 1x + 0, has a slope of 1.

so we're really looking for the equatio of a line whose slope is -1, and runs through 4,2.

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,

42.4

step-by-step explanation:

convert to decimal