Isabel method to find the height of the tree is the use of the properties of
similar triangles.
Correct Response;
- Height of the tree is approximately 19 feet
Methods used to find the tree's height;
The possible values in the question are;
Distance of the mirror from the tree = 35 feet
Distance from where Isabel is standing to the mirror = 12.1 ft.
Height of her eyes above the ground = 6 ft.
Required:
The height of the tree
Solution:
Isabel is standing perpendicular to the ground, the tree is also erect and
perpendicular to the ground.
According to the laws of reflection, we have;
- Angle of incidence of the light from the top of the tree = Angle of the reflected light ray Isabel sees
Therefore;
The triangle formed by Isabel's height, the reflected ray from the mirror and her distance from the mirror is similar to the right triangle formed by the tree,
Which by the relationship of similar triangles, gives;
[tex]\displaystyle \frac{12.1}{35} = \mathbf{\frac{6.5}{Height \ of \ the \ tree}}[/tex]
Height of the tree × 12.1 = 6.5 × 35
[tex]\displaystyle Height \ of \ the \ tree = \mathbf{\frac{6.5 \times 35}{12.1}} \approx 19[/tex]
- The height of the tree is approximately 19 feet
Learn more about similar triangles here:
https://brainly.com/question/2843430
