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Here is a scale drawing of a garden.
Tom wants to plant a tree in the garden according to the following rules:
it must be 4 m from A and 2 m from CD.
Place a cross where Tom can plant the tree.

Here is a scale drawing of a garden Tom wants to plant a tree in the garden according to the following rules it must be 4 m from A and 2 m from CD Place a cross class=

Respuesta :

The location of the tree can be found by taking point A as the origin of

coordinate plane, represented by the drawing area.

Response:

  • The the graph showing the location where Tom can plant the tree is attached.

Method used to find the location for planting the tree

The area Tom wants to plant the tree in the garden is given by the following rule;

Distance of the tree from A = 4 m

Distance of the tree from CD = 2 m

1 cm in the scale drawing = 2 m

Solution:

Taking point A as the origin, we have;

The location of the tree from point A is given by the radial length, r = 2 cm.

The distance of the tree from the line CD is given by the line, y = 1.5 cm,

given that 1 cm from CD = 1.5 cm from point A

Therefore, we have;

  • The y-coordinate of the location of the tree is; y = 1.5

  • Equation of the circular distance from A is; x² + y² = r²

Where;

r = 2

y = 1.5

We have;

x² + 1.5² = 2²

x² = 2² - 1.5² = 1.75

  • x = √(1.75)

  • The coordinate of the location of the tree from A is; (√(1.75), 1.5)

  • Please find attached, the graph showing the location where Tom can plant the tree in relation to point A.

Learn more about the coordinate plane here:

https://brainly.com/question/11252677

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