Sierra is trying to find out how tall the flagpole is outside of the courthouse in her hometown. She is standing 20 feet from the base of the flagpole and the angle from her eyes to the top of the flagpole is 80°. Her eyes are 4.5 feet from the ground. What is the height of the flagpole? Round to the nearest tenth and show your work.

the answer is c. 23/3

step-by-step explanation:

we are given

since, we have to isolate x on anyone side

so, we can move all x terms on one side

subtract both sides by 2x

add both sides by 9

divide both sides by 4

we get

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c