Help with this Math problem pleas?

This a pretty typical right triangle trig problem; the first step is to figure out what we have and what we want in relation to an acute angle in the problem.

Here we have a right triangle, G=90°, and we're given angle F=23°.  So we have to name everything in relation to F.

31 = FG is adjacent to F.

x = GE is opposite to F.

OK, we have an opposite and adjacent; that tells us we need to use the tangent of F.  Let's write it:

tan 23° = tan F = opp/adj = x/31

Solving,

x = 31 tan 23°

I hate the calculator part.  I used to love that part.

x = 31 tan 23° ≈ 13.16 feet

4) x ≈ 13.2 ft

since your problem is x^4 = 81, what you have to undeo is the "to the fourth power" part.

the inverse (opposite operation) of "to the fourth power" is "to the fourth root".

  (x^4) ^ ¼   = 81 ^ ¼  

  81 = 3^4     so (3 ^ 4) ^ ¼   =   3 ^ 1   = 3

by hand: (3 ^ 4) ^ ¼   =   3 ^ (4 x ¼) = 3 ^ 1   = 3   (when you take a power to a power, multiply the exponents.)

or, do it by calculator. one way of finding the fourth root is to use ^ (1/4)

step-by-step explanation:

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