9000153701 | math4u.vsb.cz

SubArea:

Metric properties

Level:

Project ID:

9000153701

Source Problem:

Accepted:

1

Clonable:

1

Easy:

1

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

a = 4 cm

and the height of the pyramid is

v = 6 cm

. Find the angle

φ

.

tg φ = \frac{6}{2} ⟹ φ ≐ 71^{\circ} 34^{'}

tg φ = \frac{6}{2 \sqrt{2}} ⟹ φ ≐ 64^{\circ} 46^{'}

tg \frac{φ}{2} = \frac{2}{6} ⟹ φ ≐ 36^{\circ} 52^{'}

tg \frac{φ}{2} = \frac{2}{2 \sqrt{10}} ⟹ φ ≐ 35^{\circ} 6^{'}