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weeeeeb [17]
3 years ago
7

The social studies teacher wants to know whether the students in the entire school prefer a model United Nations activity or a s

tudent government activity. The teacher draws a random sample from the following groups: All teachers in the school All boys in each grade All students in each grade All students in the social studies club Which group best represents the population he should take a random sample from to get the best results for his survey? ) Select one:
a. All teachers in the school
b. All boys in each grade
c. All students in each grade
d. All students in the social studies club
PLEASE HELP ME
Mathematics
2 answers:
denpristay [2]3 years ago
8 0
C bc all the students school wide need to be represented
Tcecarenko [31]3 years ago
6 0
C bc all of the students school wide need to be represented
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<h2>Hello!</h2>

The answer is:

The height of the building is 94.29 feet.

<h2>Why?</h2>

To solve the problem, we need to consider that two triangles are formed depending on the distance where the surveyor is standing.

We have a first triangle which its base will be called "x" and its height will be called "h" with an angle of elevation from a point on the ground, equal to 31°.  

Also, we have a second triangle which base is equal to "x" + 57.1 feet, and a height "h", with an angle of elevation from a point on the ground, equal to 23.8°

We need to use a trigonometric identity that establishes a relationship between the height and the base. So, using the tangent trigonometric identity, we have:

Tan(\alpha)=\frac{Opposite}{Adjacent}

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0.60=\frac{h}{x}

h=0.60*x=0.60x

For the second triangle:

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(0.44)*(x+57.1feet)=h

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Then, making both equation equals, in order to find "x", we have:

0.60x=0.44x+25.14feet

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Then, we substituting "x" into any of the equations, we have:

Substituting into the first equation:

h=0.60*x\\\\h=0.60*(157.13feet)=94.29feet

Hence, the height of the building is 94.29 feet.

Have a nice day!

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