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
Answer:
x = 4
Step-by-step explanation:
5x-50=30-15x
5x +15x =30+50
20x= 80
Divide both sides of the equation by 20
x = 4
I hope it helps
Answer:
answer -10
Step-by-step explanation:
Answer:
-86
Step-by-step explanation:
-102-
98 so the answer is -86
Answer: B
Step-by-step explanation:
∠a and ∠b are complementary angles. Complementary angles are two angles adjacent to each other that add up to 90°. We know this is true because of the 90° angle that is labelled.
Vertical angles are not adjacent to each other. They are across from each other, connected by the angle. They are equal in angles. It is clear that ∠a and ∠b are not equal in angles. Therefore, they are complementary angles.
