Triangles

9000035007

Level: 
B
A roof gable has the shape of an isosceles triangle with the base of \(14\, \mathrm{m}\). The angle between the roof and the horizontal direction is \(31^{\circ }\). Find the height of the gable. Round your result to one decimal place.
\(4.2\, \mathrm{m}\)
\(5.9\, \mathrm{m}\)
\(3.6\, \mathrm{m}\)
\(11.2\, \mathrm{m}\)

9000035004

Level: 
B
The triangle \(ABC\) has the angle \(\beta = 59^{\circ }\) and the side \(a = 14\, \mathrm{cm}\). Find the altitude \(v_{c}\) (the line segment which is perpendicular to the side \(c\) and joins the vertex \(C\) with the side \(c\)) and round to the nearest centimeters.
\(12\, \mathrm{cm}\)
\(7\, \mathrm{cm}\)
\(10\, \mathrm{cm}\)
\(23\, \mathrm{cm}\)