Answer:
520 feet
Step-by-step explanation:
The easiest way to visualize this problem is to sketch a quick diagram.
For this problem, you are given an angle and the length of the side of a triangle. If you look at the diagram, you'll see that the length given is the opposite side of the angle given. For this situation, that means you will use the sine function (refer to SOH-CAH-TOA acronym). Then you plug in the given values and solve for x.
Hope this helps!
There should be an X over 9.6, 0, √16, and 2.45.
9.6 = Integer
0 = Whole Number
√16 (or 4) = Counting Numbers
2.45 = Integer
Answer:
a) 90°
b) 56°
Step-by-step explanation:
If we connect O with B to get two isosceles triangles: ΔAOB and ΔBOC
∠BOC= is central angle ans is twice as ∠BAC, so equals to 2*34°= 68°
Then ∠BCA= (180°- 68°)/2= 56°
∠ABC= ∠ABO+∠CBO= 34°+56°= 90°
Without knowing what Juan's exact steps were, it's hard to say what he did wrong. The least you could say is that his solution is simply not correct.
4 sin²(<em>θ</em>) - 1 = 0
==> sin²(<em>θ</em>) = 1/4
==> sin(<em>θ</em>) = ±1/√2
==> <em>θ</em> = <em>π</em>/4, 3<em>π</em>/4, 5<em>π</em>/4, 7<em>π</em>/4