Herhaling H11

11.1 Pythagoras

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Slide 1: Diapositive

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11.1 Pythagoras

Slide 1 - Diapositive

11.1 Pythagoras

A B^{​ 2 ​ ​} + B C^{​ 2 ​ ​} = A C^{​ 2 ​ ​}

Slide 2 - Diapositive

11.1 Pythagoras

A B^{​ 2 ​ ​} + B C^{​ 2 ​ ​} = A C^{​ 2 ​ ​}

7^{​ 2 ​ ​} + 11^{​ 2 ​ ​} = A C^{​ 2 ​ ​}

Slide 3 - Diapositive

11.1 Pythagoras

A B^{​ 2 ​ ​} + B C^{​ 2 ​ ​} = A C^{​ 2 ​ ​}

7^{​ 2 ​ ​} + 11^{​ 2 ​ ​} = A C^{​ 2 ​ ​}

49 + 121 = A C^{​ 2 ​ ​}

Slide 4 - Diapositive

11.1 Pythagoras

A B^{​ 2 ​ ​} + B C^{​ 2 ​ ​} = A C^{​ 2 ​ ​}

7^{​ 2 ​ ​} + 11^{​ 2 ​ ​} = A C^{​ 2 ​ ​}

49 + 121 = A C^{​ 2 ​ ​}

170 = A C^{​ 2 ​ ​}

Slide 5 - Diapositive

11.1 Pythagoras

A B^{​ 2 ​ ​} + B C^{​ 2 ​ ​} = A C^{​ 2 ​ ​}

7^{​ 2 ​ ​} + 11^{​ 2 ​ ​} = A C^{​ 2 ​ ​}

49 + 121 = A C^{​ 2 ​ ​}

170 = A C^{​ 2 ​ ​}

A C = \sqrt ​ 170 ​ ​ ​

Slide 6 - Diapositive

11.1 Pythagoras

A B^{​ 2 ​ ​} + B C^{​ 2 ​ ​} = A C^{​ 2 ​ ​}

7^{​ 2 ​ ​} + 11^{​ 2 ​ ​} = A C^{​ 2 ​ ​}

49 + 121 = A C^{​ 2 ​ ​}

170 = A C^{​ 2 ​ ​}

A C = \sqrt ​ 170 ​ ​ ​

A C \approx 13, 04

Slide 7 - Diapositive

11.2 Sos Cas Toa hoeken

Slide 8 - Diapositive

11.2 Sos Cas Toa hoeken

Aanliggende zijde: QR

Overstaande zijde: QS

Schuine zijde: RS

Slide 9 - Diapositive

11.2 Sos Cas Toa hoeken

Sos, Cas, Toa

sin (∠ A) = \frac{​ o v e r s t a a n d ​ ​}{​ s c h u i n ​}

cos (∠ A) = \frac{​ a a n l i g g e n d ​ ​}{​ s c h u i n ​}

tan (∠ A) = \frac{​ o v e r s t a a n d ​ ​}{​ a a n l i g g e n d ​}

Slide 10 - Diapositive

11.2 Sos Cas Toa hoeken

Slide 11 - Diapositive

11.2 Sos Cas Toa hoeken

tan (∠ B) = \frac{​ o ​ ​}{​ a ​}

Slide 12 - Diapositive

11.2 Sos Cas Toa hoeken

tan (∠ B) = \frac{​ o ​ ​}{​ a ​}

tan (∠ B) = \frac{​ 1 5 ​ ​}{​ 8 ​}

Slide 13 - Diapositive

11.2 Sos Cas Toa hoeken

tan (∠ B) = \frac{​ o ​ ​}{​ a ​}

tan (∠ B) = \frac{​ 1 5 ​ ​}{​ 8 ​}

tan (∠ B) = 1.875

Slide 14 - Diapositive

11.2 Sos Cas Toa hoeken

tan (∠ B) = \frac{​ o ​ ​}{​ a ​}

tan (∠ B) = \frac{​ 1 5 ​ ​}{​ 8 ​}

tan (∠ B) = 1.875

∠ B = tan^{​ - 1 ​ ​} (1.875)

Slide 15 - Diapositive

11.2 Sos Cas Toa hoeken

tan (∠ B) = \frac{​ o ​ ​}{​ a ​}

tan (∠ B) = \frac{​ 1 5 ​ ​}{​ 8 ​}

tan (∠ B) = 1.875

∠ B = tan^{​ - 1 ​ ​} (1.875)

∠ B \approx 61.92

Slide 16 - Diapositive

11.3 Sos Cas Toa zijden

Slide 17 - Diapositive

11.3 Sos Cas Toa zijden

Slide 18 - Diapositive

11.3 Sos Cas Toa zijden

cos (∠ K) = \frac{​ a ​ ​}{​ s ​}

Slide 19 - Diapositive

11.3 Sos Cas Toa zijden

cos (66) = \frac{​ K M ​ ​}{​ 1 9 ​}

cos (∠ K) = \frac{​ a ​ ​}{​ s ​}

Slide 20 - Diapositive

11.3 Sos Cas Toa zijden

cos (66) = \frac{​ K M ​ ​}{​ 1 9 ​}

0.406 . . . = \frac{​ K M ​ ​}{​ 1 9 ​}

cos (∠ K) = \frac{​ a ​ ​}{​ s ​}

Slide 21 - Diapositive

11.3 Sos Cas Toa zijden

cos (66) = \frac{​ K M ​ ​}{​ 1 9 ​}

0.406 . . . = \frac{​ K M ​ ​}{​ 1 9 ​}

K M = 0.406 . . . \cdot 19

cos (∠ K) = \frac{​ a ​ ​}{​ s ​}

Slide 22 - Diapositive

11.3 Sos Cas Toa zijden

cos (66) = \frac{​ K M ​ ​}{​ 1 9 ​}

0.406 . . . = \frac{​ K M ​ ​}{​ 1 9 ​}

K M = 0.406 . . . \cdot 19

K M \approx 7.73

cos (∠ K) = \frac{​ a ​ ​}{​ s ​}

Slide 23 - Diapositive

11.3 Sos Cas Toa zijden

Slide 24 - Diapositive

11.3 Sos Cas Toa zijden

sin (∠ P) = \frac{​ o ​ ​}{​ s ​}

Slide 25 - Diapositive

11.3 Sos Cas Toa zijden

sin (48) = \frac{​ 7 ​ ​}{​ F G ​}

sin (∠ P) = \frac{​ o ​ ​}{​ s ​}

Slide 26 - Diapositive

11.3 Sos Cas Toa zijden

0.74 . . . = \frac{​ 7 ​ ​}{​ F G ​}

sin (48) = \frac{​ 7 ​ ​}{​ F G ​}

sin (∠ P) = \frac{​ o ​ ​}{​ s ​}

Slide 27 - Diapositive

11.3 Sos Cas Toa zijden

0.74 . . . = \frac{​ 7 ​ ​}{​ F G ​}

F G = \frac{​ 7 ​ ​}{​ 0 . 7 4 . . . ​}

sin (48) = \frac{​ 7 ​ ​}{​ F G ​}

sin (∠ P) = \frac{​ o ​ ​}{​ s ​}

Slide 28 - Diapositive

11.3 Sos Cas Toa zijden

0.74 . . . = \frac{​ 7 ​ ​}{​ F G ​}

F G = \frac{​ 7 ​ ​}{​ 0 . 7 4 . . . ​}

F G \approx 9.42

sin (48) = \frac{​ 7 ​ ​}{​ F G ​}

sin (∠ P) = \frac{​ o ​ ​}{​ s ​}

Slide 29 - Diapositive

11.4 Sos Cas Toa toepassen

Bereken de hoogte van de vlieger

Slide 30 - Diapositive

11.5 Sos Cas Toa 3D

Bereken de hoogte van de piramide

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Herhaling H11

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