Given a right triangle, if `tan θ = (3)/(4)`, what is the length of the side adjacent to `/_ theta` ?

SOH CAH TOA tells you ...

... Tan(θ) = Opposite/Adjacent

You have ...

... Tan(θ) = (3)/(4)

Matching parts of the two expressions, we see ...

... Adjacent = (4)

In the context of this problem we might reasonably assume that the adjacent side length is 4 units. In any other context, the best we might say is that it is 4/3 times the length of the opposite side.

w'x is 0.

hope it

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.