16
2 answers:
Answer:
Step-by-step explanation:
The three trigonometric ratios (Soh- Cah- Toa) are:
- sin(θ) = opposite/hypotenuse
- cos(θ)= adjacent/hypotenuse
- tan(θ)=opposite/adjacent
We want to find the indicated angle. We have the opposite side (16) and the adjacent (10). Therefore, we must use tangent.
To find an angle measure, the inverse tangent must be used.
Type the right side into a calculator.
If this is rounded to the nearest whole number, the 9 in the tenth place tells us to round the 7 up to a 8.
The angle is about 58 degrees.
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This is an interesting question. I chose to tackle it using the Law of Cosines.
AC² = AB² + BC² - 2·AB·BC·cos(B)
AM² = AB² + MB² - 2·AB·MB·cos(B)
Subtracting twice the second equation from the first, we have
AC² - 2·AM² = -AB² + BC² - 2·MB²
We know that MB = BC/2. When we substitute the given information, we have
8² - 2·3² = -4² + BC² - BC²/2
124 = BC² . . . . . . . . . . . . . . . . . . add 16, multiply by 2
2√31 = BC ≈ 11.1355
AC² = AB² + BC² - 2·AB·BC·cos(B)
AM² = AB² + MB² - 2·AB·MB·cos(B)
Subtracting twice the second equation from the first, we have
AC² - 2·AM² = -AB² + BC² - 2·MB²
We know that MB = BC/2. When we substitute the given information, we have
8² - 2·3² = -4² + BC² - BC²/2
124 = BC² . . . . . . . . . . . . . . . . . . add 16, multiply by 2
2√31 = BC ≈ 11.1355
The answer is B, 7.
We can factor a 2 out of this:
We can't factor anything.
We can factor a 4 out of this:
We can factor an 8 out of this:
So your answer is B, 7.
We can factor a 2 out of this:
We can't factor anything.
We can factor a 4 out of this:
We can factor an 8 out of this:
So your answer is B, 7.