A flagpole at a right angle to the horizontal is located on a slope that makes an angle of 12° with the horizontal. The flagpol
eâs shadow is 16 meters long and points directly up the slope. The angle of elevation from the tip of the shadow to the sun is 20°.
1. Write an equation that can be used to find the height of the flagpole.
1. Write an equation that can be used to find the height of the flagpole.
1 answer:
Answer:
Step-by-step explanation:
A flagpole at a right angle to the horizontal is located on a slope that makes an angle of 12 degree. The flagpole shadow is 16 meters long and points directly up the slope.
The diagram for the given problem is attached below
We need to find the height of flagpole h
Apply sine law
Required equation is
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<h2>Steps:</h2>
Here are the steps to convert an equation to its inverse:
- Change f(x) to y
- Switch the positions of x and y
- Solve for y
- Change y to f^-1(x)
Firstly, do the first two steps:
Next, let's solve for y. Subtract 3 on both sides:
Next, divide both sides by 4:
Finally, change y to f^-1(x) and your final answer will be:
, or <u>the second option.</u>
Answer:
And we can find this probability with the following difference:
We can use the following commands on the ti 84
2nd>VARS>DISTR
And then we look for normalcdf and we input this:
normalcdf(0.7,1.4,0,1)
The other possible code would be:
normalcdf(-1000,1,4,0,1)-normalcdf(-1000,0.7,0,1)
And we got:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
For this case we want to find this probability:
And we can find this probability with the following difference:
We can use the following commands on the ti 84
2nd>VARS>DISTR
And then we look for normalcdf and we input this:
normalcdf(0.7,1.4,0,1)
The other possible code would be:
normalcdf(-1000,1,4,0,1)-normalcdf(-1000,0.7,0,1)
And we got: