2010015808 | math4u.vsb.cz

SubArea:

Metric properties

Level:

Project ID:

2010015808

Source Problem:

Accepted:

0

Clonable:

1

Easy:

1

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

a = 6 cm

and the height of the pyramid is

v = 10 cm

. Find the angle

φ

.

tg φ = \frac{10}{3 \sqrt{2}} ⟹ φ ≐ 67^{\circ}

tg φ = \frac{10}{3} ⟹ φ ≐ 73^{\circ} 18^{'}

tg \frac{φ}{2} = \frac{3 \sqrt{2}}{10} ⟹ φ ≐ 45^{\circ} 59^{'}

tg \frac{φ}{2} = \frac{3}{10} ⟹ φ ≐ 33^{\circ} 24^{'}