The ship
Characters:
Theme: Trigonometry. Measurement. Trigonometric ratios of an acute angle and their relationships.
Competencies
Mathematical competence in science, technology and engineering
Personal, social and learning to learn competence
Competence in cultural awareness and expressions
Subjects and year by Educational System
Spain > Mathematics > 4th(B) ESO > Spatial sense
Spain > Mathematics > 4th(B) ESO > Socio-affective sense
Spain > Mathematics > 4th(B) ESO > Measurement sense
Enunciation
Sophia Brahe was a Danish astronomer in the 16th and 17th century who worked with her brother Tycho Brahe, also astronomer, in the creation of a star catalogue that Kepler used as a source to find the laws on the movement of planets in the Solar System. She made the observations on the lunar eclipse of December 1573.
Astronomy is one of the oldest sciences and it became more relevant when it was applied to navigation during Europe's Age of Discovery.
We are in an observatory in the highest part of a lighthouse, at 50 m high, and we notice a boat at an angle of 10º (depression angle). What is the distance between the base of the lighthouse and the boat?
Observations and context
- Sophia was self-taught with the help of her brother Tycho. She faced her family, who did not accept that high-society members did anything else in their life other than idleness.
- Some important astronomers previous to Sophia Brahe are Enheduanna (c. 2285 BC – c. 2250 BC) who is considered the first astronomer in history, Aglaonice of Thessaly (c.500 BC – c. 400 BC), Theano of Crotone (c.546 BC – c. 450 BC), Hypatia of Alexandria (c. 370 – c. 416), Fátima de Madrid (c. 900 – c. 1100) and Anna Komnene (1083-1153).
- Other relevant scientists of the 17th century that can be highlighted are Caterina Vitale (pharmacist and chemist), Maria Cunitz (astronomer), Martine Bertereau (specialist in mine engineering and mineralogist), Margaret Cavendish (a prolific writer who wrote 10 natural philosophy books, now physics), Marie Crous (mathematician), Marie Meurdrac (chemist), Elisabeth Hevelius (astronomer), Jeanne Dumée (astronomer), Maria Margarethe Winckelmann-Kirch (astronomer), Maria Sibylla Merian (entomologist, naturalist, explorer, science illustrator and painter), and Maria Clara Eimmart (astronomer).
Description
Solving trigonometry problems.