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 <em>adjacent </em>to F.
x = GE is <em>opposite </em>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
The Inner planets, or The Rocky Planets. I'm not 100% sure if this is right, so maybe wait for another answer.
Answer:
1 7/12"
Step-by-step explanation:
5/6 + 1/16 + 3/16 + 1/2
5/6 + 3/4
10/12 + 9/12
19/12
1 7/12
X< 5 and (- infinity, 5 )