Applications In Two And Three Dimensions
Gbogbo ọrọ náà
How tall is a building you can see from 200 metres away? What angle does a diagonal make with the base of a box? These are everyday questions that trigonometry answers with precision. This topic takes the sine rule, cosine rule, and right-angled triangle ratios you already know and applies them to real situations in two and three dimensions.
You will learn to solve problems involving angles of elevation and depression, work with bearings, find lengths and angles inside 3D shapes such as cuboids and pyramids, and identify the angle between a line and a plane. Every technique builds on extracting the right triangle from a diagram, a skill that examiners reward heavily.
Ebumnobi
- Solve problems in two or three dimensions using trigonometry
- Find angles between a line and a plane and between two planes
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
Ndetu Nkuzi Zuru Ezu di na Ngwa Green Bridge
Nweta ngwa Green Bridge CBT na ekwenti gi ma o bu kompiuta maka ulo akwukwo IGCSE zuru oke: akwukwo ule ndi gara aga, usoro nyocha, eserese uche, kaadi omumu na nkuzi olu.
Nnyocha Ọmụmụ
Ekele diri gi maka imecha ihe karịrị na Applications In Two And Three Dimensions. 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.
- The angle of elevation from a point on the ground to the top of a 15 m tree is 35 degrees. What is the horizontal distance from the point to the base of the tree? A) 15 / tan 35 B) 15 tan 35 C) 15 sin 35 D) 15 / sin 35 Answer: A
- A cuboid has dimensions 3 cm by 4 cm by 12 cm. What is the length of the space diagonal? A) 12 cm B) 13 cm C) 15 cm D) 19 cm Answer: B
- Two sides of a triangle are 7 cm and 10 cm with an included angle of 60 degrees. What is the area? A) 35 sq cm B) 30.3 sq cm C) 17.5 sq cm D) 70 sq cm Answer: B
- The angle between a line and a plane is found using: A) The line and a normal to the plane B) The line and its projection onto the plane C) Two lines in the plane D) The line and the line of intersection Answer: B
- A ship sails 10 km north then 10 km east. The bearing of the ship from its starting point is: A) 045 B) 090 C) 135 D) 315 Answer: A
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
-
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 Applications In Two And Three Dimensions? Budata ngwa Green Bridge CBT iji nweta ajụjụ ule ọmarịcha na nyocha zuru ezu gbasara isiokwu a.
Budata Ngwa Ahụ Na Google Playstore
Ihe nile ichoro iji nwee ihe ịga nke ọma na JAMB, WAEC & NECO.
