Finf the exact value of sin A and cos A where a = 9 and b = 10 and <c is a right angle
2 answers:
To solve for the longest side, the hypotenuse, you have to use the pythagorean theorem. It will be 10^2 + 9^2 = c^2. 100 + 81 =c^2.
c^2 = 181 so c = sqrt(181).
to find sin of A do opposite/hypotenuse which gives you 9/sqrt(181)
to find cos of A do adjacent/hypotenuse which gives you 10/sqrt(181)
c^2 = 181 so c = sqrt(181).
to find sin of A do opposite/hypotenuse which gives you 9/sqrt(181)
to find cos of A do adjacent/hypotenuse which gives you 10/sqrt(181)
Answer:
sin A = 0.6666666667 ≈ 0.67
cos A = 0.7407407407 ≈ 0.74
Step-by-step explanation:
The triangle above is a right angle triangle . Angle C is the angle 90°. we can use the cosine law for triangle to solve for side c.
c² = a² + b² - 2ab.cos(C)
a = 9
b = 10
C = 90°
c² = 9² + 10² - 2 × 9 × 10 cos( 90)
c² = 81 + 100 - 180 × 0
c² = 181
c = √181
c = 13.45362405 ≈ 13.5
Using sine rule
a/sin A = b/sin B = c/sin C
a = 9
b = 10
c = 13.5
C = 90°
9/sin A = 13.5/sin 90°
13.5 sin A = 9 × sin 90°
13.5 sin A = 9
sin A = 9/13.5
sin A = 0.6666666667
Use SOHCAHTOA principle to find cos A
cos A = b/c
cos A = 10/13.5
cos A = 0.7407407407
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The level of measurement of each given variable are:
1. Ordinal
2. Nominal
3. Ratio
4. Interval
5. Ordinal
6. Nominal
7. Ratio
8. Interval
Level of measurement is used in assigning measurement to variables depending on their attributes.
There are basically four (4) levels of measurement (see image in the attachment):
1. <u>Nominal:</u> Here, values are assigned to variables just for naming and identification sake. It is also used for categorization.
- Examples of variables that fall under the measurement are: Favorite movie, Eye Color.
<u>2. Ordinal:</u> This level of measurement show difference between variables and the direction of the difference. In order words, it shows magnitude or rank among variables.
- Examples of such variables that fall under this are: highest degree conferred, birth order among siblings in a family.
<u>3. Interval Scale:</u> this third level of measurement shows magnitude, a known equal difference between variables can be ascertain. However, this type of measurement has <em>no true zero</em> point.
- Examples of the variables that fall here include: Monthly temperatures, year of birth of college students
4. Ratio Scale: This scale of measurement has a "true zero". It also has every property of the interval scale.
- Examples are: ages of children, volume of water used.
Therefore, the level of measurement of each given variable are:
1. Ordinal
2. Nominal
3. Ratio
4. Interval
5. Ordinal
6. Nominal
7. Ratio
8. Interval
Learn more about level of measurement here:
