Find the height of the cone (1 decimal place)

In the given figure, EB = 3 cm and \(\angle {\rm{FBE}}\) = \({\rm{3}}{{\rm{5}}^0}\). Find the length of FB. (1 decimal place)

Calculate the angle between the line PT and the plane PQRS in the prism pictured. Give answer to the nearest degree.

Calculate the angle between the line PV and the plane PQRS in the prism pictured. Give answer to the nearest degree.

The adjacent figure is a cube with side length \(12 \text{ cm}\). Find, to the nearest degree, \(\angle AGE\)

In the adjacent triangular prism, \(AB=10 \text{ cm},\,BC=3 \text{ cm}\) and \(FC=4 \text{ cm}\). 

Find the exact length of \(BE\). 

\(AB\) and \(BC\) are wooden support struts on a crate. Find the total length of wood required to make the two struts (to the nearest centimetre). 

All edges of a square based pyramid are \(10 \text{ m}\) in length. 

Find the angle between a slant edge and a base diagonal. 

The adjacent figure is a square-based pyramid in which all the edges are \(15 \text{ cm}\) long. 

Find \(\angle ABC\)