2010015810 | math4u.vsb.cz

SubArea:

Metric properties

Level:

Project ID:

2010015810

Source Problem:

Accepted:

0

Clonable:

1

Easy:

0

The picture shows a square pyramid. The side of a base square is

a = 10 cm

and the height of the pyramid is

v = 10 cm

. Find the angle

φ

between the lateral edge and the edge of the base of the pyramid.

tg φ = \sqrt{5} ⟹ φ ≐ 65^{\circ} 54^{'}

tg φ = \frac{\sqrt{5}}{5} ⟹ φ ≐ 24^{\circ} 6^{'}

tg \frac{φ}{2} = \frac{\sqrt{5}}{5} ⟹ φ ≐ 48^{\circ} 11^{'}

tg φ = \frac{\sqrt{10}}{2} ⟹ φ ≐ 57^{\circ} 41^{'}