The students used a sextant to measure the height of buildings and trees. They measured the height of their school building, which was 15 meters tall. They also measured the height of an inaccessible tree by taking angle measurements from different distances and using trigonometry calculations. The students concluded the project by crediting the participants and sharing photos of their measurements.

1. HEIGHT OF ...
The work of students
GOAL!
eTwinning project

2. I.E.S. Ramon Cabanillas
GALICIA , SPAIN

3. We process
The sextant is an instrument that measures angles between two lines.
We could use it to measure the hight of buildings , trees etc...
We decided to use it to solve two problems in trigonometry.
THE SEXTANT.

4. Calculation of standing height available:
Check the height of our institute.
We got to 15 m away from some wall
obtaining a correct result.
What we did was look in a certain
line and thereafter every
taking an angle depending on your height.
Example:
With a height of 1.64 obtained an
angle of 33 º. (measuring
to the eyes)
With a height of 1.74 obtained an
angle of 32.5 º. (measuring
to the eyes).

5. Calculation of standing height inaccessible:
After we returned to check a height but this time a tree.
We set to any distance, and measuring a person with a height
of 1.74 over his eyes got a angle of 24º. 19m move and got an angle
of 40º.

6. CREDITS.
Xoan Costa
Eddie Freire
Cristina Diz
The
sextant used this fact by our partners of diversification of
J. Manuel Barreiro

7. The measurement
of the tree
Havukoski School, Vantaa,
Finland

8. Here we are measuring distance
between the tree and Valtteri

12. FOTOGRAMETYKA
W dniu 21.03.2011 udaliśmy się całą klasą
mierzyć słup przed szkołą. Nasza grupa
mierzyła go metodą fotogrametryczną.
On 21.03.2011 we went with the
whole class to measure a post near
the school. Our group measuresd it
with a photogrametric method.
Wykonały:
Katarzyna
Weronika
Wioleta
Klaudia
Mariola
Joanna

13. I pomiar na odległości 20,46 m.
- wymiary rzeczywiste / real size
- wymiary ze zdjęcia / photo size
X - wysokość słupa w rzeczywistości /
real height of a post

14. II pomiar na odległości 50,82 m
wymiary rzeczywiste / real size
- wymiary ze zdjęcia / photo size

15. III pomiar ze szkolnego okna na
wysokości ok. 6 m
wymiary ze zdjęcia / photo
size
- wymiary rzeczywiste / real

16. POMIAR SŁUPA METODĄ: ,,CIEŃ’’
MEASUREMENT OF A
POST WITH A
"SHADOW" METHOD

17. Wyniki pomiarów / Results

18. Wyniki pomiarów / Results

19. Wyniki pomiarów / Results

20. Średnia wysokość/Average height:
11,29+11,19+11,625+11,84+10,81+10,82=67,575 m
67,575:6=11,2625≈11,3 m
Wykonali/Made by:
Paulina
Aneta
Karolina
Natalia
Dawid
Kl.IIIa

21. Slovenia
Measuring with photocameras
and then use of MS Paint

22. Measurement with 1m long stick

23. Measurement with height of
teacher:
12x1,83 m= approx. 22 m