Pythagoras’ Theorem And Trigonometry
Akopọ
Pythagoras' theorem and trigonometry are not limited to flat triangles: they work in three dimensions too. The trick is to find the right right-angled triangle inside a solid, often by using a diagonal of a face as a stepping stone to the diagonal of the whole solid.
In this lesson (Extended tier) you will solve three-dimensional problems using Pythagoras' theorem and trigonometry, including finding the angle between a line and a plane.
Awọn Afojusun
- Carry out calculations and solve problems in three dimensions using Pythagoras’ theorem and trigonometry, including calculating the angle between a line and a plane.
Ẹ̀kọ́ Ohùn
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Ṣí àwòrán ọpọlọ nínú áàpù
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Ṣe ìdánrawò káàdì wọ̀nyí nínú áàpù
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Ìdánwò Ẹ̀kọ́
Oriire fun ipari ẹkọ lori Pythagoras’ Theorem And Trigonometry. Ni bayi ti o ti ṣawari naa awọn imọran bọtini ati awọn imọran, o to akoko lati fi imọ rẹ si idanwo. Ẹka yii nfunni ni ọpọlọpọ awọn adaṣe awọn ibeere ti a ṣe lati fun oye rẹ lokun ati ṣe iranlọwọ fun ọ lati ṣe iwọn oye ohun elo naa.
Iwọ yoo pade adalu awọn iru ibeere, pẹlu awọn ibeere olumulo pupọ, awọn ibeere idahun kukuru, ati awọn ibeere iwe kikọ. Gbogbo ibeere kọọkan ni a ṣe pẹlu iṣaro lati ṣe ayẹwo awọn ẹya oriṣiriṣi ti imọ rẹ ati awọn ogbon ironu pataki.
Lo ise abala yii gege bi anfaani lati mu oye re lori koko-ọrọ naa lagbara ati lati ṣe idanimọ eyikeyi agbegbe ti o le nilo afikun ikẹkọ. Maṣe jẹ ki awọn italaya eyikeyi ti o ba pade da ọ lójú; dipo, wo wọn gẹgẹ bi awọn anfaani fun idagbasoke ati ilọsiwaju.
- A cuboid is 4 by 3 by 12. What is the diagonal of the 4 by 3 base? A. 5 B. 7 C. 12 D. 13 Answer: A
- Using a base diagonal of 5 and height 12, the space diagonal is: A. 12 B. 13 C. 17 D. 169 Answer: B
- To find a space diagonal of a cuboid you apply Pythagoras: A. once B. twice C. three times D. not at all Answer: B
- The angle between the space diagonal and the base (height 12, base diagonal 5) is: A. 22.6° B. 45.0° C. 67.4° D. 90.0° Answer: C
- The angle between a line and a plane is measured between the line and: A. the vertical B. its projection on the plane C. any edge D. the diagonal Answer: B
Ṣiṣẹ́ lórí àwọn ìbéèrè wọ̀nyí nínú ohun èlò náà
Ṣiṣẹ́ lórí àwọn ìbéèrè wọ̀nyí nínú ohun èlò náà
Awọn Iwe Itọsọna Ti a Gba Nimọran
Ẹ̀kọ́ síwájú láti àwọn orísun ṣíṣí
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Abala ìwé ẹ̀kọ́
Right Triangle Trigonometry
Use right triangles to evaluate trigonometric functions.
"Algebra and Trigonometry: Right Triangle Trigonometry" by OpenStax, OpenStax, Rice University, licensed under CC BY 4.0 (https://creativecommons.org/licenses/by/4.0/). Source: https://openstax.org/books/algebra-and-trigonometry/pages/7-2-right-triangle-trigonometry. Access for free at https://openstax.org/books/algebra-and-trigonometry/pages/1-introduction
Àwọn àjọ mìíràn ló tẹ̀ wọ́n jáde lábẹ́ ìwé àṣẹ ṣíṣí, a sì dá wọn lọ́lá bí wọ́n ṣe béèrè. Àwọn ìjápọ̀ ń ṣí ojú òpó wọn.
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