A flag pole is casting a 20ft shadow. the flag pole measures 16 ft. find the angle of elevation of the sun

38.7°

Step-by-step explanation:

Hi, since the situation forms a right triangle (see attachment) we have to apply the next trigonometric function.  

Tan α = opposite side / adjacent side  

Where α is the angle of elevation of the sun (x), and the opposite side is the height of the pole, and the adjacent side is the length of the shadow.

Replacing with the values given:  

Tan x = 16/20

x = arc tan 0.8

x= 38.7°

Feel free to ask for more if needed or if you did not understand something.  

5/12, or 5: 12

step-by-step explanation:

step-by-step explanation:

points a and b are equidistant from the desired line, so the line you find by using them will go through point r.

using points other than a and b will give the desired line only if they are equidistant from r. if they are randomly located, the perpendicular line you create will not necessarily go through point r, hence will not be a solution to the problem.