Respuesta :
Ⲁⲛ⳽ⲱⲉⲅ:
[tex] \quad\hookrightarrow\quad \sf { \dfrac{35}{37} }[/tex]
Ⲋⲟⳑⳙⲧⳕⲟⲛ :
In the given triangle , for angle α , we have :
- Base = 35
- Hypotenuse = 37
- Perpendicular = 12
And, cos α for a right angled triangle is the ratio of the adjacent side to the hypotenuse, where α is the acute angle ,i.e:
[tex] \quad\longrightarrow\quad {\pmb{\sf {cos\:\alpha = \dfrac{Base}{Hypotenuse} }}}[/tex]
Therefore:
[tex] \implies\quad \tt { cos\:\alpha = \dfrac{B}{H} }[/tex]
[tex] \implies\quad \tt\underline{ \underline{\pmb{{cos\:\alpha =\dfrac{35}{37}} }}}[/tex]