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Irina18 [472]
3 years ago
10

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.

Mathematics
2 answers:
Ad libitum [116K]3 years ago
6 0
Tan 44° = x/140

 x = 140 tan 44°

x approx = 140 * 0.9657 = 135.198

Remember, we need to add another 4 feet, so the answer would be 139.198 feet
makvit [3.9K]3 years ago
3 0

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

tan 44=\frac{opposite}{adjacent}

tan44=\frac{x}{140}

x=140tan44=135.20

So the total length of pole is = 135.2+4=139.2

Rounding to the nearest feet, the height of pole is 139 feet.  :  Answer

Hope it will help :)

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Answer:

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3 years ago
A sample with a mean of m = 40 and a variance of s2 = 20 has an estimated standard error of 1 point. how many scores are in the
tamaranim1 [39]

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;

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Standard error SE = 1

The amount of scores with in sample must be determined here.

The standard error formula is as follows:

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We might rearrange the formula as follows:

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brainly.com/question/14467769

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2 years ago
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Let x = the number.

"increased by" tells you we are adding.

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