SmarterEd

Aussie Maths & Science Teachers: Save your time with SmarterEd

Measurement, STD2 M6 2024 HSC 36

The diagram shows two vertical flagpoles, and , set on sloping ground.
 

  1. What is the height of the flagpole , correct to 1 decimal place?   (2 marks)
  2. What is the height of the flagpole , correct to 1 decimal place?   (2 marks)
Show Answers Only

a.   

b.   

Show Worked Solution

a.   

 
 
   
   

 

b.  

 
 
   

 

♦♦ Mean mark (b) 35%.

Measurement, STD2 M6 2022 HSC 26

The diagram shows two right-angled triangles, and ,

where and .
 
     

Calculate the size of angle , to the nearest minute.  (4 marks)

Show Answers Only

Show Worked Solution

 
 
   

 

 

 
 
 
   
   

♦ Mean mark 50%.

Measurement, STD2 M6 2007 HSC 25b

The angle of depression from to is 75°. The length of is 20 m and the length of is 18 m.
 

 
 

Copy or trace this diagram into your writing booklet and calculate the angle of elevation from to . Give your answer to the nearest degree.   (3 marks)

Show Answers Only

Show Worked Solution

   

 

 
 

 

Measurement, STD2 M6 2010 HSC 26d

Find the area of triangle , correct to the nearest square metre.   (3 marks)

Show Answers Only

²    ²

Show Worked Solution
♦♦ Mean mark 32%.
TIP: The allocation of 3 marks to this question should flag the need for more than 1 step.
 
 

 
 
  ²²

Measurement, STD2 M6 2012 HSC 29c

Raj cycles around a course. The course starts at , passes through , and  and finishes at . The distances and are equal.
  

2012 29c

  1. What is the length of , to the nearest kilometre?  (2 marks)

  2. What is the total distance that Raj cycles, to the nearest kilometre?   (3 marks)

Show Answers Only
Show Worked Solution

i.   

♦ Mean mark 48%.
 
 

 

 
 

 

ii. 

♦ Mean mark 37%.
MARKER’S COMMENT: Students could also have used Pythagoras or the Sine rule to calculate .