OUR LADY OF MERCY SCHOOL

Name: Renata C., Michelle T. José Luis C. & Patrícia P.        Grade: 9^th                            

Teacher: Ms. Freire & Ms. Oliveira                                        Date: 06/11/02

Botanical Garden

    On June 13^th, 1808 the Garden of Aclimação (later called the Royal Horto of Botanical Garden) was created under the influence of D. João VI in the backyard of a gunpowder factory. It is located in Rio de Janeiro, in the Botanical Garden neighborhood. The garden began with exotic plants and species being cultivated and, later on, species of plants from all over Brazil and the world.

    The garden became open to the public in 1822, where it served and still serves today as a place for studies and research in several areas of botanics. Specialists study the vegetation of the country and their relation to the climate, observe the plants for studies, and  keep research areas open to the public. The Botanical Garden is considered a tourist attraction and a cultural center.

MATH PROBLEM:

If you are 100m away from a tree, and you look at it in a 30^o angle of elevation, you can only see two thirds of it. How many meters do you have to go back in order to see the whole tree with the same angle of elevation?

SOLUTION:

If 2/3 is what you can see from the tree with a 30^o angle of elevation, then:

Tan 30^o  =    X /100  ;  Tan 30^o  x 100          

But if X = 2/3 H

57.7 = 2/3 H

Therefore; the height is obtained by:

H = 3(57.7) = 86.25m
            2

If you are Y meters distant from the tree:

Tan 30^o = 86.25
                    Y

Y = 86.25     =  149.4m
        Tan 30^o

Y = 149.4m  then;  D = 49.4m

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