SOHCAHTOA applied problem

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Ruth Hand

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Should not be used

4 years, 1 month ago

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Ruth Hand 4 years, 1 month ago

Gave some feedback: Should not be used

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Ruth Hand 6 years, 1 month ago

Gave some feedback: Ready to use

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Ruth Hand 6 years, 1 month ago

Created this as a copy of Trigonometry Q1.

Name	Status	Author	Last Modified
3 point triangle TestBed	draft	David Wishart	02/05/2017 22:00
3 point triangle	draft	David Wishart	31/03/2025 15:39
Ben's copy of 3 point triangle	draft	Ben Brawn	02/05/2017 05:21
3 side triangle	draft	David Wishart	07/05/2017 23:04
Right Angle triangle	draft	David Wishart	10/06/2017 22:53
Trigonometry Q2 Right angled triangle	Ready to use	David Wishart	03/03/2020 15:15
Trigonometry Q3 Right angled triangle	Ready to use	David Wishart	03/03/2020 15:15
Trigonometry Q4 Sine rule	Ready to use	David Wishart	03/03/2020 15:15
Trigonometry Q5 Cosine rule	Ready to use	David Wishart	03/03/2020 15:15
Trigonometry to Find Missing Length	draft	Gareth Woods	21/07/2017 16:00
Trigonometry to Find Angle	draft	Gareth Woods	21/07/2017 16:02
Paul's copy of Trigonometry Q4 Sine rule	draft	Paul Hancock	05/09/2017 03:32
Question 4	draft	Paul Hancock	07/09/2017 01:42
Question 5	draft	Paul Hancock	05/09/2017 03:40
Right Triangle	draft	Paul Hancock	05/09/2017 03:57
MATH6058 Trigonometry Cosine rule	draft	Catherine Palmer	24/10/2017 11:06
Trigonometry Q1	Ready to use	David Wishart	05/06/2023 13:11
Kwame's copy of Paul's copy of Trigonometry Q4 Sine rule	draft	Kwame D Dwamena	15/03/2018 15:37
Kwame's copy of MATH6058 Trigonometry Cosine rule	draft	Kwame D Dwamena	15/03/2018 15:39
Trigonometry Application	draft	Mark Hodds	16/03/2018 09:35
Trigonometry Cosine rule	draft	Mark Hodds	16/03/2018 09:48
Trigonometry Sine rule	draft	Mark Hodds	16/03/2018 09:38
Trigonometry Sine rule	draft	Mark Hodds	16/03/2018 09:46
Christian's copy of Trigonometry Q1	draft	Christian Lawson-Perfect	13/06/2018 09:03
Network Demo	draft	Paul Hancock	04/07/2018 01:32
Sine, cosine, and area rules	draft	Sean Gardiner	17/02/2019 20:47
Sine, cosine, and area rules	draft	Sean Gardiner	13/02/2019 00:37
Right-triangle trigonometry	draft	Sean Gardiner	16/12/2018 21:58
Right-triangle trigonometry [OLD]	draft	Sean Gardiner	21/12/2021 03:15
Trigonometry Q3 (Right angled triangle)	draft	Michael Proudman	07/12/2021 10:48
Trigonometry to Find Missing Length (Right Angled Triangle)	draft	Michael Proudman	07/12/2021 10:48
Michael's copy of Trigonometry Q1	draft	Michael Proudman	07/12/2021 10:48
Michael's copy of Right-triangle trigonometry	draft	Michael Proudman	07/12/2021 10:48
Sine, cosine, and area rules (radians)	draft	Sean Gardiner	17/02/2019 20:47
SOHCAHTOA applied problem	Should not be used	Ruth Hand	12/07/2022 15:05
Simon's copy of Sine, cosine, and area rules	draft	Simon Thomas	02/05/2019 10:45
Simon's copy of Trigonometry Cosine rule	draft	Simon Thomas	02/05/2019 10:59
Meetu's copy of Michael's copy of Trigonometry Q1	draft	Meetu Chhabra	21/05/2019 05:14
Trigonometry Q1	draft	Meetu Chhabra	21/05/2019 05:15
Maria's copy of Sine, cosine, and area rules	draft	Maria Aneiros	24/05/2019 00:52
Maria's copy of Meetu's copy of Michael's copy of Trigonometry Q1	draft	Maria Aneiros	29/05/2019 08:19
Maria's copy of Trigonometry Q1	draft	Maria Aneiros	29/05/2019 07:52
Trigonometry: Sine Rule	draft	Xiaodan Leng	10/07/2019 22:55
Trigonometry Cosine rule	draft	Xiaodan Leng	10/07/2019 22:55
Right-triangle trigonometry	draft	Sean Gardiner	17/09/2020 23:54
Sine, cosine, and area rules	draft	Sean Gardiner	09/02/2020 22:14
Michael's copy of Right-triangle trigonometry	draft	Michael Proudman	07/12/2021 10:48
Pythagoras: calculating side length	Ready to use	Ruth Hand	08/03/2023 14:52
Right angled triangles: SOHCAHTOA 3 - random side or angle	Ready to use	Ruth Hand	27/09/2022 09:01
Right angled triangles: SOHCAHTOA 1 - find angle	Ready to use	Ruth Hand	27/09/2022 09:01
Right angled triangles: SOHCAHTOA 2 - find side	Ready to use	Ruth Hand	27/09/2022 09:01
GB1 Trigonometry - missing side	Ready to use	Megan Oliver	14/02/2025 14:31
GB6 Trigonometry - non-right angled trig	Ready to use	Oliver Spenceley	09/04/2024 17:51
GB2 Trigonometry - missing angle	Ready to use	Will Morgan	14/02/2025 14:29
GA2 Pythagoras - triangle	Ready to use	Will Morgan	09/04/2024 17:45

There are 172 other versions that do you not have access to.

Question statement

The figure below shows the position of four towns marked on a map.

{plotgraph(1,2,3,WXY,XYW,XWY,theta)}

Give any introductory information the student needs.

			Name	Type	Generated Value

			Name	Type	Generated Value

WXY	integer	90
XYW	integer	33
XWY	integer	57
WX	integer	21
XY	number	32.3371642401
fixed_WY	number	38.5576476343
WY	number	38.5576476343
WZmin	integer	19
WZmax	integer	34
WZ	integer	27
YZ	number	27.5262091667
theta	number	45.5529199431

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
90
​

JME function reference

Description

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

Can an exam override the value of this variable?

Generated value: `integer`

This variable doesn't seem to be used anywhere.

Parts

Part a) Gap-fill
1. Gap Number entry
  Add
Part b) Gap-fill
1. Gap Number entry
  Add
Part c) Gap-fill
1. Gap Number entry
  Add

Gap-fill

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

Calculate, to the nearest kilometre, the distance between towns W and Y

WY = Unnamed gap km

Advice

Avoid using rounded values in calculations and just round for the final answer.

a) You have the hypothenuse and the angle, and need to find the opposite side.

This is SOH and therefore a sin question.
Cover the unknown (O) with your finger to see the rule.

$opp = sin(\theta) \times H$

$opp = sin(\var{precround(XYW,0)}) \times \var{WX}$

b) Because you found WY in part a), you now have the hypothenuse and the adjacent side in the bottom triangle

Use CAH, the cos formula, but this time we are trying to find the angle, so cover 'cos' with your finger to find the rule.

$cos(\theta) = \frac{adj}{H}$

$cos(\theta) = \frac{\var{WZ}}{\var{precround(WY,1)}}$

c) Pythagoras or trigonometry will work here because you have several sides and angles to work with.

Give a worked solution to the whole question.

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Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

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Checkpoint description

Ruth Hand 4 years, 1 month ago

Ruth Hand 6 years, 1 month ago

Ruth Hand 6 years, 1 month ago

Error in variable testing condition

Error

Warning

Generated value: `integer`

Parts

Gap-fill

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Error

SOHCAHTOA applied problem

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Ruth Hand 4 years, 1 month ago

Ruth Hand 6 years, 1 month ago

Ruth Hand 6 years, 1 month ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`