MATH6058 Solve for x and y on a right angled triangle

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Catherine Palmer

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Catherine Palmer 7 years, 5 months ago

Created this as a copy of Q3 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	47
lent11	integer	25
ans12	number	57.8650719959
ans11	number	39.7994974843
ans21	number	37.1172634672
lent21	integer	58
ans22	number	46.2493243194
ang31	integer	76
lent31	integer	76
ans31	number	62.5544327569
ang32	integer	53
ans32	number	60.8712287103
h3	number	48.6139247882
ans33	number	1847.3291419524
l2	number	36.6332199156
lent22	integer	35

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

This variable doesn't seem to be used anywhere.

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.

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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:

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MATH6058 Solve for x and y on a right angled triangle

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Catherine Palmer 7 years, 5 months ago

Error in variable testing condition

Error

Warning

Generated value: `integer`

Parts

Gap-fill

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Error

MATH6058 Solve for x and y on a right angled triangle

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Catherine Palmer 7 years, 5 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`