Answer:
<h2>58°</h2>
Step-by-step explanation:
We will use the tangent function since we know the opposite and adjacent sides.
Tangent = opposite/adjacent
Tan(e) = 16/10
Tan(e) = 1.6
Use the inverse tangent function to find the angle.
Arctan (1.6) = 57.9946168
Rounding this we get: 58°
Now cos⁻¹(0.7) is about 45.6°, that's on the first quadrant.
keep in mind that the inverse cosine function has a range of [0, 180°], so any angles it will spit out, will be on either the I quadrant where cosine is positive or the II quadrant, where cosine is negative.
however, 45.6° has a twin, she's at the IV quadrant, where cosine is also positive, and that'd be 360° - 45.6°, or 314.4°.
now, those are the first two, but we have been only working on the [0, 360°] range.... but we can simply go around the circle many times over up to 720° or 72000000000° if we so wish, so let's go just one more time around the circle to find the other fellows.
360° + 45.6° is a full circle and 45.6° more, that will give us the other angle, also in the first quadrant, but after a full cycle, at 405.6°.
then to find her twin on the IV quadrant, we simply keep on going, and that'd be at 360° + 360° - 45.6°, 674.4°.
and you can keep on going around the circle, but only four are needed this time only.
First, let's find the mode since It's the one with the different options among the answer choices. So the numbers that repeat are 8 and 25, so in order to find the in inches, you'd have to multiply that by 12.
8 x 12 = 96
25 x 12 = 300
Therefore, your answer is A.
The answer will be 0.40 because 2 divided by 5 is 0.40
