Metric properties

9000153701

Level:

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^{'}

9000153702

Level:

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 \sqrt{2}} ⟹ φ ≐ 64^{\circ} 46^{'}

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

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

tg φ = \frac{2 \sqrt{10}}{2} ⟹ φ ≐ 72^{\circ} 27^{'}

9000153703

Level:

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

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

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

tg \frac{φ}{2} = \frac{2 \sqrt{2}}{6} ⟹ φ ≐ 50^{\circ} 29^{'}

9000153704

Level:

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

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 \sqrt{2}}{6} ⟹ φ ≐ 50^{\circ} 29^{'}

9000153705

Level:

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 \frac{φ}{2} = \frac{2 \sqrt{2}}{6} ⟹ φ ≐ 50^{\circ} 29^{'}

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^{'}

9000153706

Level:

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{2 \sqrt{10}}{2} ⟹ φ ≐ 72^{\circ} 27^{'}

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

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

tg \frac{φ}{2} = \frac{2 \sqrt{2}}{6} ⟹ φ ≐ 50^{\circ} 29^{'}

1103025401

Level:

A regular hexagonal prism

A B C D E F A^{'} B^{'} C^{'} D^{'} E^{'} F^{'}

has the side

a

of the length

3 cm

and the height

v

of the length

8 cm

. Find the angle between the lines

A D^{'}

and

B D^{'}

. Round the result to two decimal places.

{17.46}^{\circ}

{72.54}^{\circ}

{16.70}^{\circ}

{20.57}^{\circ}

1103025402

Level:

A regular hexagonal prism

A B C D E F A^{'} B^{'} C^{'} D^{'} E^{'} F^{'}

has the side

a

of the length

3 cm

and the height

v

of the length

8 cm

. Find the angle between the plane

A B D^{'}

and the base plane

A B C

. Round the result to two decimal places.

57^{\circ}

{53.13}^{\circ}

33^{\circ}

{72.01}^{\circ}

1103025403

Level:

A regular hexagonal prism

A B C D E F A^{'} B^{'} C^{'} D^{'} E^{'} F^{'}

has the side

a

of the length

3 cm

and the height

v

of the length

8 cm

. Find the distance between the lines

F A^{'}

and

C D^{'}

3 \sqrt{3}

6

6 \sqrt{3}

\frac{3}{2} \sqrt{3}

1103025404

Level:

A regular hexagonal prism

A B C D E F A^{'} B^{'} C^{'} D^{'} E^{'} F^{'}

has the side

a

of the length

3 cm

and the height

v

of the length

8 cm

. Find the distance between the planes

A E E^{'}

and

B D D^{'}

3

\sqrt{3}

2 \sqrt{3}

\frac{\sqrt{3}}{2}

9000153701

9000153702

9000153703

9000153704

9000153705

9000153706

1103025401

1103025402

1103025403

1103025404

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