To find the height of a pole, a surveyor uses a theodolite. The theodolite is 4 ft tall. The surveyor stands 140 feet away from
the base of the pole. Then she measures the angle of elevation to the top of the pole to be 44°. What is the height of the pole? Round the answer to the nearest foot.
2 answers:
Answer:
Step-by-step explanation:
Alright, lets get started.
Please refer the diagram I have attached.
The height of pole will be in two parts, upper part is x and second will be the height of theodolite which is already given as 4 feet.
Using SOH CAH TOA in triangle ABC
So the total length of pole is =
Rounding to the nearest feet, the height of pole is 139 feet. : Answer
Hope it will help :)
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The correct option is 20.
The score found for the sample is 20.
<h3>What is Standard error?</h3>A standard error is a statistic that is applied to test the distribution of data. This metric is comparable to standard deviation. We can calculate the standard error if we know the sample size & standard deviation. It assesses the mean's precision.
Now, according to the question;
Sample mean;
Sample variance;
Thus,
Standard error SE = 1
The amount of scores with in sample must be determined here.
The standard error formula is as follows:
We might rearrange the formula as follows:
Substituting the values;
The sample's number of scores n = 19.98 = 20 (round up)
Therefore, the scores are in the sample is 20.
To know more about the Standard error, here
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Answer:
0.66
Step-by-step explanation:
The exponential growth equation is expressed as;
S(t) = S0e^kt
S(t) is the number of stores after t years
S0 is the initial number of stores
If a chain of retail computer stores opened 2 stores in its first year of operation then at t = 1, S(t) = 2. Substitute into the equation;
2 = S0e^k(1)
2 = S0e^k .... 1
Also if after 8 years of operation, the chain consisted of 206 stores, this means at t = 8, S(t) = 206. Substitute into the equation;
206 = S0e^k(1)
206 = S0e^8k .... 2
Next is to calculate the value of k
Divide equation 2 by 1;
Hence the value of k to the nearest hundredth is 0.66