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pychu [463]
4 years ago
11

two men on opposite sides of a TV tower of height 20m notice the angle of elevation of the top of the tower to be 45° and 60° re

spectively. find the distance in meters between the two men.
Mathematics
1 answer:
Bad White [126]4 years ago
7 0
The man on the 45 degrees side:

Tan(45) = Opp / Adj (rearranging we get . . .)
Adj = Opp / Tan(45) = 20 / 1 = 20m

The man on the 60 degrees side:

Tan(60) = Opp / Adj (rearranging we get . . .)
Adj = 20 / Tan(60) = 20 / 1.732 = 11.547m

Therefore the distance between the two men is 20 + 11.547 = 31.547m

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What is the distance points for (2,-2) and (0,-9)
Ksivusya [100]

The distance between two points (2,-2) and (0,-9) is 7.3 units, which is obtained by graphical method and formula method.

Step-by-step explanation:

The given is,

         Two points are (2,-2) and (0,-9)

Step:1

         By graphical method,

         For two points (2,-2) and  (0,-9)

                  First point (2,-2)

                             The values of x=2 and y=-9 noted in the graph

                  Second point (0,-9)

                              The values of x=0 and y=-9 noted in the graph

                  Now join the two points, measure the distance between the two points,

                   Distance between points are 7.3 units.

                                          ( OR )

Step:1

        By formula method,

              Distance =   \sqrt{(x_{2}- x_{2})  ^{2}+ (y_{2}-y_{1})  ^{2}  }

       Where,

               ( 2,-2) are (x_{1},y_{1})

               (0,-9) are (x_{2},y_{2})

       From the values,

                             = \sqrt{(0- 2)  ^{2}+ (-9+2)  ^{2}  }

                            =  \sqrt{(- 2)  ^{2}+ (-7)  ^{2}  }

                            = \sqrt{4+49  }

                            = \sqrt{53}

                            = 7.280

                            ≅ 7.3

            Distance = 7.3

Result:

           The distance between two points (2,-2) and (0,-9) is 7.3 units, which is obtained by graphical method and formula method.

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Which fraction (in simplest form) is equivalent to 0.42?
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