2010015809 | math4u.vsb.cz

SubArea:

Metric properties

Level:

Project ID:

2010015809

Source Problem:

Accepted:

0

Clonable:

1

Easy:

1

The picture shows a square pyramid

A B C D V

. The side of a base square is

a = 6 cm

and the height of the pyramid is

v = 8 cm

. Find the angle

φ

between the opposite lateral edges (the angle

A V C

).

tg \frac{φ}{2} = \frac{3 \sqrt{2}}{8} ⟹ φ ≐ 55^{\circ} 53^{'}

tg φ = \frac{3 \sqrt{2}}{8} ⟹ φ ≐ 27^{\circ} 56^{'}

tg \frac{φ}{2} = \frac{3}{8} ⟹ φ ≐ 41^{\circ} 7^{'}

tg \frac{φ}{2} = \frac{8}{3 \sqrt{2}} ⟹ φ ≐ 124^{\circ} 7^{'}