Q3 Solve for x and y on a given triangle

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TEAME CIT

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TEAME CIT 8 years, 5 months ago

Published this.

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TEAME CIT 9 years, 1 month ago

Created this as a copy of Q2 Solve for x and y on a given triangle.

Name	Status	Author	Last Modified
Q3 Solve for x and y on a given triangle	draft	TEAME CIT	05/10/2016 14:45
Q4 Solve for x and y on a given triangle and calculate the area	draft	TEAME CIT	08/10/2016 21:39
Q1.1 Pythagoras' Theorem and naming sides of right angled triangle	draft	TEAME CIT	08/10/2016 21:38
Q3: Solve for x and y on a given triangle	draft	Denis Flynn	17/01/2017 13:15
MATH6058 Pythagoras' Theorem and naming sides of right angled triangle	draft	Catherine Palmer	23/10/2017 00:40
MATH6058 Solve for x and y on a right angled triangle	draft	Catherine Palmer	23/10/2017 00:42
MATH6058 Solve for x and y on a given triangle and calculate the area	Ready to use	Catherine Palmer	29/03/2018 11:27
Simon's copy of Q1.1 Pythagoras' Theorem and naming sides of right angled triangle	draft	Simon Thomas	01/05/2019 14:59
Simon's copy of Q1.1 Pythagoras' Theorem	draft	Simon Thomas	01/05/2019 15:44
Simon's copy of Q3 Solve for x and y on a given triangle	draft	Simon Thomas	02/05/2019 09:47
Simon's copy of Q4 Solve for x and y on a given triangle and calculate the area	draft	Simon Thomas	02/05/2019 10:42
Maria's copy of Q1.1 Pythagoras' Theorem and naming sides of right angled triangle	draft	Maria Aneiros	29/05/2019 08:42
Using Pythagoras to find a missing side (Eukleides diagrams)	Ready to use	Deirdre Casey	10/05/2023 09:12
Ann's copy of Using Pythagoras to find a missing side (Eukleides diagrams)	draft	Ann Smith	11/06/2019 10:48

There are 45 other versions that do you not have access to.

Question statement

Solve the following mensuration questions to 2 decimal places:

Note: You may need to scroll down to see the diagrams.

Give any introductory information the student needs.

			Name	Type	Generated Value

lent12	integer	41
lent11	integer	25
ans12	number	52.4281306803
ans11	number	32.4961536185
ans21	number	34.0557977426
lent21	integer	75
ans22	number	62.1369455316
ang31	integer	73
lent31	integer	74
ans31	number	56.5930197276
ang32	integer	47
ans32	number	67.0140762978
h3	number	49.010992761
ans33	number	1813.4067321563
l2	number	45.7034901362
lent22	integer	42

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
random(41..51#2)

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`

→ Used by:

ans11
ans12

Advice
"Part b)" - prompt

Parts

Part a) Gap-fill
1. Gap Gap 0. Number entry
  Add
2. Gap Gap 1. Number entry
  Add
1. Step Information only
Part b) Gap-fill
1. Gap Gap 0. Number entry
  Add
2. Gap Gap 1. Number entry
  Add

Gap-fill

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

Find the values of x and y:

Note:The bottom left angle is a right angle (90 $^{\circ}$ ).

{tri2(lent21,lent22,ans22)}

x = Gap 0.mm

y = Gap 1. $^{\circ}$

Advice

i) $\frac{\var{lent21}}{\sin(90^{\circ})} = \frac{\var{lent22}}{\sin(Y^{\circ})}$

$\sin(Y^{\circ}) = \var{lent22} \div \frac{\var{lent21}}{\sin(90^{\circ})}$

$Y = \var{ans21}^{\circ}$

$\frac{\var{lent21}}{\sin(90^{\circ})} = \frac{x}{\sin(90^{\circ}-\var{ans21})}$

$x = \frac{\var{lent21}}{\sin(90^{\circ})} \times \sin(90^{\circ}-\var{ans21}^{\circ}) = \var{ans22}mm$

ii) $y^2 + \var{lent11}^2 = \var{lent12}^2$

$y^2 = \var{lent12}^2 - \var{lent11}^2$

$y = \sqrt(\var{lent12}^2 - \var{lent11}^2) = \var{ans11}mm$

$\frac{\var{lent12}}{\sin(90^{\circ})} = \frac{\var{ans21}}{\sin(x^{\circ})}$

$\sin(x^{\circ}) = \var{ans21} \div \frac{\var{lent12}}{\sin(90^{\circ})}$

$x = \var{ans12}^{\circ}$

Give a worked solution to the whole question.

Use this tab to check that this question works as expected.

There was an error which means the tests can't run:

Part	Test	Passed?
Gap-fill
Gap-fill		Hasn't run yet
Number entry
Number entry		Hasn't run yet
Number entry
Number entry		Hasn't run yet
Information only
Gap-fill
Gap-fill		Hasn't run yet
Number entry
Number entry		Hasn't run yet
Number entry
Number entry		Hasn't run yet

This question is used in the following exams:

Math6000 Trigonometry by TEAME CIT in MATH6000 Essential Mathematical Skills.
Math6000 (WS5-8) by Julie Crowley in MATH6000 Essential Mathematical Skills.
Trigonometry by Deirdre Casey in Deirdre's workspace.
claire's copy of Trigonometry by claire lines in claire's workspace.

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Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

TEAME CIT 8 years, 5 months ago

TEAME CIT 9 years, 1 month ago

Error in variable testing condition

Error

Warning

Generated value: `integer`

Parts

Gap-fill

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Error

Q3 Solve for x and y on a given triangle

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

TEAME CIT 8 years, 5 months ago

TEAME CIT 9 years, 1 month ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`