Question

PLEASE HELP I need help on these questions

Answer 1

Everything you're posting involves right triangles, and
each one is solved with the Pythagorean formula:

              (one leg)² + (other leg)² = (hypotenuse)²

For the tree . . .
Do you see the right triangle ?
They even marked a little box at the base of the stump
to remind you that there's a right angle there.

-- The stump is 3 meters high.
-- The broken part of the tree is on the ground
    13 meters away from the stump.
--  The broken part of the tree is the hypotenuse.
       (3)² + (13)² = (broken part)²

-- Before it fell over, the broken part stood on top of the 3-meter stump.

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#4).  Your coordinates for point 'G' are correct, but
the coordinates of point 'F' should be (-1, 6), not (1,6).
If you know how to calculate the distance between 2 points,
then that little correction might fix the problem you're having.

The distance between two points is

        Square root of [ (x₁-x₂)² + (y₁-y₂)² ]
or
       Square root of [ (difference of the x's)² + (difference of the y's)² ] .

Without even using this formula, you could just look at
the graph, and do something like this:

-- From 'F', draw a line 2 units straight down.

-- From 'G', draw a line 4 units to the left.

-- Connect 'F' and 'G' .

Now you have a little right triangle.
The legs are 2 units and 4 units.
The hypotenuse is the distance between 'F' and 'G'.

   (2)² + (4)² = (that distance)²