Question

Help with this Math problem pleas?

Answer 1

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

Answer: 4) x ≈ 13.2 ft