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Mashcka [7]
2 years ago
10

In a national park the distance between the base of two cliffs is 312 feet . The angle of elevation from the base of the shorter

cliff to the top of the taller cliff is 35 degrees the angle of the elevation from the base of the taller cliff to the top of the shorter cliff is 27 degrees the tops of the two cliff are joined by a bridge of length x as modeled below
Mathematics
1 answer:
Sever21 [200]2 years ago
4 0
339 bridge length x as modeled below
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If θ is an angle in standard position whose terminal side lies in quadrant III and sin θ=-√3/2, find the exact value of the tan
777dan777 [17]

Answer:

C) √3

tanθ = √3

Step-by-step explanation:

<u><em>Step:-1</em></u>

Given that  θ be an angle in standard position whose terminal side

Given that the angle

                 sinθ = \frac{-\sqrt{3} }{2}

Given that the Opposite side  AB = \sqrt{3}

                        Hypotensue     AC = 2

<u><em>Step(ii):-</em></u>

<u><em>By using Pythagoras theorem</em></u>

                        AC² = AB² +BC²

                        BC² = AC² - AB²

                       BC²  = 4 - (√3)²

                               = 4-3

                         BC = 1

    Adjacent side(BC)  = 1

<u><em>Step(iiI):-</em></u>

Given that 'θ' lies in the third quadrant so tanθ is positive

                     tanθ = \frac{AB}{BC} = \frac{\sqrt{3} }{1}

                       

6 0
3 years ago
Make a frequency distribution and find the relative frequencies for the following number set. Round the relative frequency to th
Pani-rosa [81]

Solution: We have to find the Frequency and Relative frequency of the given data:

Frequency is the number of times a number occurs.

Relative Frequency is the number of times a number occurs divided by the total number of items.

Therefore, the frequency and relative frequency are calculated as below:

Number       Frequency          Relative Frequency

20                       1                     \frac{1}{31} \times 100 =3.2\%

21                        4                    \frac{4}{31} \times 100 =12.9\%

22                       2                    \frac{2}{31} \times 100 =6.5\%

23                       4                    \frac{4}{31} \times 100 =12.9\%

24                       3                    \frac{3}{31} \times 100 =9.7\%

25                       2                    \frac{2}{31} \times 100 =6.5\%

26                       3                    \frac{3}{31} \times 100 =9.7\%

27                       5                    \frac{5}{31} \times 100 =16.1\%

28                       3                    \frac{3}{31} \times 100 =9.7\%

29                       4                    \frac{4}{31} \times 100 =12.9\%

Total                  31

6 0
3 years ago
Find the measure of each exterior angle of a regular polygon with 22 sides
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it's 96 inches around and 2 inches wide

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Help please! I have no idea how to do this
Ivanshal [37]

Answer:

it is greater than

Step-by-step explanation:

4 0
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Is 5 a rational number or an irrational number?
nasty-shy [4]

Answer:

It is a rational number

Step-by-step explanation:

7 0
3 years ago
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