.9205 or so is what it should say. (I don't have the graph on me.) and to read it to find that, find the angle measurement (23 in this case) then go to the column that says cos on it and read the number. It's that simple:) Hope this helps:)
Answer:
The boat is approximately 338.74 feet from the base of the cliff. If the problem suggests rounding to the nearest whole number, you should use 339 ft.
Step-by-step explanation:
Let's draw the right angle triangle associated with the problem (see attached image). Notice that the 305 ft height corresponds to the "opposite side" to the given acute angle of
, and that the distance we need to find is the "adjacent" side to the given acute angle. Therefore, the appropriate trigonometric function to use is the "tangent", given that from it we can solve for the unknown adjacent side "x":
![tan(42^o)=\frac{opposite}{adjacent} \\tan(42^o)=\frac{305}{x}\\x=\frac{305}{tan(42^o)}\\ x=338.74\,\, ft](https://tex.z-dn.net/?f=tan%2842%5Eo%29%3D%5Cfrac%7Bopposite%7D%7Badjacent%7D%20%5C%5Ctan%2842%5Eo%29%3D%5Cfrac%7B305%7D%7Bx%7D%5C%5Cx%3D%5Cfrac%7B305%7D%7Btan%2842%5Eo%29%7D%5C%5C%20x%3D338.74%5C%2C%5C%2C%20ft)
Standard deviation is the square root of the variance.
To find the variance from the standard deviation, raise it to the 2nd power:
Standard deviation = 4
Variance = 4^2 = 4x4 = 16.
Answer:
17.6
Step-by-step explanation:
Given:
A grandfather is 9 times older than his granddaughter.
In 8 years the grandfather will be 5 times older than his granddaughter.
To find:
The present age of grandfather and granddaughter.
Solution:
Let x be the present age of granddaughter.
Then, present age of grandfather = 9x
After 8 years,
Age of granddaughter = x+8
Age of grandfather = 9x+8
In 8 years the grandfather will be 5 times older than his granddaughter.
![9x+8=5(x+8)](https://tex.z-dn.net/?f=9x%2B8%3D5%28x%2B8%29)
![9x+8=5x+40](https://tex.z-dn.net/?f=9x%2B8%3D5x%2B40)
Isolate variable terms.
![9x-5x=-8+40](https://tex.z-dn.net/?f=9x-5x%3D-8%2B40)
![4x=32](https://tex.z-dn.net/?f=4x%3D32)
Divide both sides by 4.
![x=8](https://tex.z-dn.net/?f=x%3D8)
Now,
Present age of granddaughter = 8
Present age of grandfather = 9(8) = 72
Therefore, the present age of granddaughter is 8 years and present age of grandfather is 72 years.