Trigonometry and vectors: Find approx lengths of components

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Ben Brawn

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Ben Brawn

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9 years, 1 month ago

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Ben Brawn 9 years, 1 month ago

Gave some feedback: Ready to use

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Ben Brawn 9 years, 1 month ago

Created this as a copy of Trigonometry: Right angled: Find approx side lengths.

Name	Status	Author	Last Modified
Trigonometry: Right angled: Finding trig ratios	Ready to use	Ben Brawn	17/10/2023 01:13
Trigonometry: Right angled: Finding reciprocal trig ratios	Ready to use	Ben Brawn	17/10/2023 01:13
Pythagoras' Theorem: Integers	Ready to use	Ben Brawn	25/09/2024 05:36
Trigonometry: Right angled: Find exact angles	Ready to use	Ben Brawn	16/02/2023 00:20
Trigonometry: Right angled: Find angles to nearest degree	Ready to use	Ben Brawn	04/04/2023 00:35
Trigonometry: Right angled: Find approx side lengths	Ready to use	Ben Brawn	04/04/2023 00:35
Trigonometry and vectors: Find angles to nearest degree	Ready to use	Ben Brawn	03/11/2021 12:47
Trigonometry and vectors: Find approx lengths of components	Ready to use	Ben Brawn	16/06/2016 07:00
Don's copy of Trigonometry: Right angled: Find exact angles	Ready to use	Don Shearman	01/06/2016 09:47
Trigonometry: Right angled: Finding trig ratios	draft	steve kilgallon	02/08/2016 15:02
trigo de triangulo	draft	Marlon Arcila	19/09/2016 16:44
rigonometry: Right angled: Finding trig ratios	draft	Marlon Arcila	31/08/2016 17:48
Solucion triangulos rectangulos angulos	draft	Marlon Arcila	19/09/2016 16:50
Trigonometry: Right angled: Finding trig ratios	draft	Paul Howes	14/11/2016 18:07
Pythagoras' Theorem: Integers	draft	Paul Howes	14/11/2016 18:07
Hannah's copy of Trigonometry and vectors: Find approx lengths of components	draft	Hannah Bartholomew	18/09/2017 16:14
Hannah's copy of Pythagoras' Theorem: Integers	draft	Hannah Bartholomew	18/09/2017 16:04
Trigonometry: Right angled: Finding trig ratios	draft	Paul Hancock	28/08/2017 02:29
Question 1	draft	Paul Hancock	05/09/2017 03:55
Question 3	draft	Paul Hancock	05/09/2017 03:39
Question 2	draft	Paul Hancock	05/09/2017 03:39
MATH6058 Trigonometry: Right angled: Finding trig ratios	draft	Catherine Palmer	24/10/2017 11:04
MATH6058 Trigonometry: Right angled: Find angles to nearest degree	draft	Catherine Palmer	23/10/2017 00:54
Trigonometry: Right angled: Finding trig ratios	draft	Mark Hodds	16/03/2018 09:52
Trigonometry: Right angled: Find angles to nearest degree	draft	Mark Hodds	16/03/2018 09:52
Samantha's copy of Trigonometry: Right angled: Finding trig ratios	draft	Samantha Konig	28/06/2018 01:10
Samantha's copy of Samantha's copy of Trigonometry: Right angled: Finding trig ratios	draft	Samantha Konig	28/06/2018 01:10
Trigonometry: Right angled: Finding trig ratios	draft	Paul Emanuel	28/06/2018 01:20
Trigonometry: Right angled: Find angle to nearest degree	draft	Clare Lundon	30/10/2018 21:41
Trigonometry: Right angled: Find angle to nearest degree	Has some problems	Clare Lundon	30/10/2018 21:52
Terry's copy of Trigonometry: Right angled: Find approx side lengths	draft	Terry Young	03/04/2019 17:51
Terry's copy of Trigonometry: Right angled: Finding trig ratios	draft	Terry Young	03/04/2019 17:54
Terry's copy of Trigonometry: Right angled: Find angles to nearest degree	draft	Terry Young	03/04/2019 17:54
Trigonometry, finding angles and lengths in right angled triangles	Ready to use	Bennett Gardiner	26/07/2019 12:42
Kapittel 1	draft	Arnhild Lunde	03/05/2019 10:52
Meetu's copy of Terry's copy of Trigonometry: Right angled: Find angles to nearest degree	draft	Meetu Chhabra	21/05/2019 05:13
Maria's copy of Trigonometry and vectors: Find approx lengths of components	draft	Maria Aneiros	24/05/2019 00:48
Maria's copy of Trigonometry and vectors: Find angles to nearest degree	draft	Maria Aneiros	24/05/2019 00:48
Maria's copy of Trigonometry: Right angled: Finding trig ratios	draft	Maria Aneiros	29/05/2019 08:38
Trigonometry: Right angled: Finding trig ratios	draft	Xiaodan Leng	11/07/2019 05:51
Trigonometry and vectors: Find angles to nearest degree	draft	Xiaodan Leng	11/07/2019 05:51
Trigonometry and vectors: Find approx lengths of components	draft	Xiaodan Leng	11/07/2019 05:52
Trigonometry: Right angled: Find angles to nearest degree	draft	Xiaodan Leng	11/07/2019 05:53
Trigonometry: Right angled: Finding reciprocal trig ratios	draft	Xiaodan Leng	11/07/2019 05:54
Trigonometry: Right angled: Find exact angles	draft	Xiaodan Leng	11/07/2019 05:55
Right Angled Trigonometry: Find angles to nearest degree	draft	Michael Proudman	07/12/2021 10:48
Right Angle Trigonometry (missing angle)	Ready to use	Andrew Chuter	06/04/2020 13:31
Cameron's copy of Right Angle Trigonometry (missing angle)	draft	Cameron Ritchie	10/07/2020 03:18
Trigonometry: Right angled: Find angles to nearest degree (JSXGraph through JME version)	draft	Christian Lawson-Perfect	07/12/2021 13:45
Trigonometry: Right angled: Find angles to nearest degree (Eukleides version)	draft	Christian Lawson-Perfect	07/12/2021 14:08

There are 80 other versions that do you not have access to.

Question statement

Give any introductory information the student needs.

			Name	Type	Generated Value

triples	list	[ 92, 525, 533 ]
vec1	list	[ 1, 0, 2 ]
v	integer	92
h	string
d	string	$x$
scale	rational	8/175
tritop	decimal	dec("2.10285")
deltax	decimal	dec("-0.5870")
switcharoo	integer	0
smallest_angle	number	10
display_angles	string	10$^\circ$
rsang	number	0.1745329252
name	list	[ "Matt", "he" ]
component	list	Nested 2×2 list
ans	number	529.8068844492

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
random([[3, 4, 5], [5, 12, 13], [7, 24, 25], [8, 15, 17], [9, 40, 41], [11, 60, 61], [12, 35, 37], [16, 63, 65], [20, 21, 29], [20, 99, 101], [24, 143, 145], [28, 45, 53], [33, 56, 65], [36, 77, 85], [39, 80, 89], [44, 117, 125], [48, 55, 73], [51, 140, 149], [52, 165, 173], [57, 176, 185], [60, 91, 109], [60, 221, 229], [65, 72, 97], [68, 285, 293], [69, 260, 269], [75, 308, 317], [76, 357, 365], [84, 187, 205], [84, 437, 445], [85, 132, 157], [87, 416, 425], [88, 105, 137], [92, 525, 533], [93, 476, 485], [95, 168, 193], [96, 247, 265], [100, 621, 629], [104, 153, 185], [105, 208, 233], [105, 608, 617], [111, 680, 689], [115, 252, 277], [119, 120, 169], [120, 209, 241], [120, 391, 409], [132, 475, 493], [133, 156, 205], [135, 352, 377], [136, 273, 305], [140, 171, 221], [145, 408, 433], [152, 345, 377], [155, 468, 493], [156, 667, 685], [160, 231, 281], [161, 240, 289], [165, 532, 557], [168, 425, 457], [168, 775, 793], [175, 288, 337], [180, 299, 349], [184, 513, 545], [185, 672, 697], [189, 340, 389], [195, 748, 773], [200, 609, 641], [203, 396, 445], [204, 253, 325], [205, 828, 853], [207, 224, 305], [215, 912, 937], [216, 713, 745], [217, 456, 505], [220, 459, 509], [225, 272, 353], [228, 325, 397], [231, 520, 569], [232, 825, 857], [240, 551, 601], [248, 945, 977], [252, 275, 373], [259, 660, 709], [260, 651, 701], [261, 380, 461], [273, 736, 785], [276, 493, 565], [279, 440, 521], [280, 351, 449], [280, 759, 809], [287, 816, 865], [297, 304, 425], [300, 589, 661], [301, 900, 949], [308, 435, 533], [315, 572, 653], [319, 360, 481], [333, 644, 725], [336, 377, 505], [336, 527, 625], [341, 420, 541], [348, 805, 877], [364, 627, 725], [368, 465, 593], [369, 800, 881], [372, 925, 997], [385, 552, 673], [387, 884, 965], [396, 403, 565], [400, 561, 689], [407, 624, 745], [420, 851, 949], [429, 460, 629], [429, 700, 821], [432, 665, 793], [451, 780, 901], [455, 528, 697], [464, 777, 905], [468, 595, 757], [473, 864, 985], [481, 600, 769], [504, 703, 865], [533, 756, 925], [540, 629, 829], [555, 572, 797], [580, 741, 941], [615, 728, 953], [616, 663, 905], [696, 697, 985]])
​

JME function reference

Description

Some the following were too skinny and so were removed.

random([[3,4,5], [5,12,13], [7,24,25], [8,15,17], [9,40,41],
[11,60,61], [12,35,37], [13,84,85], [15,112,113], [16,63,65],
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[23,264,265], [24,143,145], [25,312,313], [27,364,365], [28,45,53],
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[44,117,125], [44,483,485], [48,55,73], [48,575,577], [51,140,149],
[52,165,173], [52,675,677], [56,783,785], [57,176,185], [60,91,109],
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[87,416,425], [88,105,137], [92,525,533], [93,476,485], [95,168,193],
[96,247,265], [100,621,629], [104,153,185], [105,208,233], [105,608,617],
[108,725,733], [111,680,689], [115,252,277], [116,837,845], [119,120,169],
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[161,240,289], [165,532,557], [168,425,457], [168,775,793], [175,288,337],
[180,299,349], [184,513,545], [185,672,697], [189,340,389], [195,748,773],
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[276,493,565], [279,440,521], [280,351,449], [280,759,809], [287,816,865],
[297,304,425], [300,589,661], [301,900,949], [308,435,533], [315,572,653],
[319,360,481], [333,644,725], [336,377,505], [336,527,625], [341,420,541],
[348,805,877], [364,627,725], [368,465,593], [369,800,881], [372,925,997],
[385,552,673], [387,884,965], [396,403,565], [400,561,689], [407,624,745],
[420,851,949], [429,460,629], [429,700,821], [432,665,793], [451,780,901],
[455,528,697], [464,777,905], [468,595,757], [473,864,985], [481,600,769],
[504,703,865], [533,756,925], [540,629,829], [555,572,797], [580,741,941],
[615,728,953], [616,663,905], [696,697,985]])

Describe what this variable represents, and list any assumptions made about its value.

Can an exam override the value of this variable?

Generated value: `list`

[ 92, 525, 533 ]

This variable doesn't seem to be used anywhere.

Parts

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1. Gap Number entry
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Ask the student a question, and give any hints about how they should answer this part.

{name[0]} wants to fire a rocket so that its angle of launch is {smallest_angle} $^\circ$ above the horizontal and its {component[0][0]} velocity is {component[0][1]} $\mathrm{ms^{-1}}$ . What will the rocket's {component[1][0]} velocity be?

Unnamed gap $\mathrm{ms^{-1}}$ (to 1 decimal place)

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Give a worked solution to the whole question.

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This question is used in the following exams:

Trigonometry and vectors by Ben Brawn in Trigonometry.
Test by michael ammann in michael's workspace.
PreCal CW Vectors by Terry Young in NC PreCalculus.
NCDCS Test UNIT 1 Introduction to Matrices & Vectors by Terry Young in NCDCS Unit 0 Course Intro.
first exam by Sara Santos in Sara's workspace.
Trigonometry and Vectors Exam by Michael O'Connor in Glasgow Numbas Question Pool.
Trigonometry by Chris Templet in Chris's workspace.
NCM4 FE-F2022 UNIT 8 All by Terry Young in NCM4 FINAL EXAM Fall 2022.

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Trigonometry and vectors: Find approx lengths of components

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Ben Brawn 9 years, 1 month ago

Ben Brawn 9 years, 1 month ago

Error in variable testing condition

Error

Warning

Generated value: `list`

Parts

Gap-fill

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Error

Trigonometry and vectors: Find approx lengths of components

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Ben Brawn 9 years, 1 month ago

Ben Brawn 9 years, 1 month ago

Error in variable testing condition

Error

Warning

Generated value: list

Parts

Gap-fill

Generated value: `list`