Right-angled Triangles
Gbogbo ọrọ náà
Trigonometry connects the angles of a right-angled triangle to the lengths of its sides, and that link is one of the most powerful tools in mathematics. With it you can find a height you cannot climb, a distance you cannot pace out, or an angle you cannot reach a protractor to.
In this lesson you will use the sine, cosine and tangent ratios to find sides and angles in right-angled triangles, and solve two-dimensional problems with these ratios and Pythagoras' theorem. (At Extended you will also handle angles of elevation and depression.)
Ebumnobi
- Know and use the sine, cosine and tangent ratios for acute angles in calculations involving sides and angles of a right-angled triangle.
- Solve problems in two dimensions using Pythagoras’ theorem and trigonometry.
- Know that the perpendicular distance from a point to a line is the shortest distance to the line. (Extended only)
- Carry out calculations involving angles of elevation and depression. (Extended only)
Nkuzi Olu
Gee ntị na nkuzi a na ngwa
Maapụ uche
E seela isiokwu a ka ị hụ otu echiche si ejikọta.
Mepee maapụ uche na ngwa
Kaadị ncheta
Omume ncheta ngwa ngwa n'ihe a na-anwale n'isiokwu a.
Mee omume kaadị ndị a na ngwa
Akwụkwọ Ọmụmụ
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Nnyocha Ọmụmụ
Ekele diri gi maka imecha ihe karịrị na Right-angled Triangles. Ugbu a na ị na-enyochakwa isi echiche na echiche ndị dị mkpa, ọ bụ oge iji nwalee ihe ị ma. Ngwa a na-enye ụdị ajụjụ ọmụmụ dị iche iche emebere iji kwado nghọta gị wee nyere gị aka ịmata otú ị ghọtara ihe ndị a kụziri.
Ị ga-ahụ ngwakọta nke ụdị ajụjụ dị iche iche, gụnyere ajụjụ chọrọ ịhọrọ otu n’ime ọtụtụ azịza, ajụjụ chọrọ mkpirisi azịza, na ajụjụ ede ede. A na-arụpụta ajụjụ ọ bụla nke ọma iji nwalee akụkụ dị iche iche nke ihe ọmụma gị na nkà nke ịtụgharị uche.
Jiri akụkụ a nke nyocha ka ohere iji kụziere ihe ị matara banyere isiokwu ahụ ma chọpụta ebe ọ bụla ị nwere ike ịchọ ọmụmụ ihe ọzọ. Ekwela ka nsogbu ọ bụla ị na-eche ihu mee ka ị daa mba; kama, lee ha anya dị ka ohere maka ịzụlite onwe gị na imeziwanye.
- Which ratio is sin θ? A. opp/adj B. adj/hyp C. opp/hyp D. hyp/opp Answer: C
- A right-angled triangle has hypotenuse 10 cm and an angle of 30°. The opposite side is: A. 5 cm B. 8.66 cm C. 10 cm D. 20 cm Answer: A
- If tan θ = 3/4, then θ is: A. 30.0° B. 36.9° C. 45.0° D. 53.1° Answer: B
- Which side is the hypotenuse? A. opposite the angle θ B. opposite the right angle C. next to θ D. the shortest side Answer: B
- To find an unknown angle from two known sides you use: A. the ratio directly B. Pythagoras C. the inverse trig function D. the area formula Answer: C
Rue ajuju ndi a n'ime ngwa ahu
Rue ajuju ndi a n'ime ngwa ahu
Akwụkwọ A Na-atụ Aro
Mụtakwuo ihe site na isi mmalite mepere emepe
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Akụkụ akwụkwọ
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
Ndị otu ndị ọzọ bipụtara ha n'okpuru ikike mepere emepe, anyị na-ekele ha dị ka ha si chọọ. Njikọ na-emepe saịtị ha.
Meecha Ajụjụ Ule Ọmarịcha
Ị chọrọ ime ajụjụ ule ọmarịcha gbasara Right-angled Triangles? Budata ngwa Green Bridge CBT iji nweta ajụjụ ule ọmarịcha na nyocha zuru ezu gbasara isiokwu a.
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