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Measurement, STD1 M5 2021 HSC 26

The diagrams show two similar shapes. The dimensions of the small shape are enlarged by a scale factor of 1.5 to produce the large shape.
 


 

Calculate the area of the large shape.  (3 marks)

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♦♦ Mean mark 32%.

 

Measurement, STD1 M5 2020 HSC 28

Two similar right-angled triangles are shown.
 


 

The length of side is 8 cm and the length of side is 4 cm.

The area of triangle is 20 cm2.

Calculate the length in centimetres of side in Triangle II, correct to two decimal places.   (4 marks)

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♦♦♦ Mean mark 11%.

 

 
 

Measurement, STD2 M7 2015 HSC 27a

At a particular time during the day, a tower of height 19.2 metres casts a shadow. At the same time, a person who is 1.65 metres tall casts a shadow 5 metres long.

  

What is the length of the shadow cast by the tower at that time?  (2 marks)

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Measurement, STD2 M7 2008 HSC 20 MC

A point lies between a tree, 2 metres high, and a tower, 8 metres high. is 3 metres away from the base of the tree.

From , the angles of elevation to the top of the tree and to the top of the tower are equal.
 

What is the distance, , from to the top of the tower?

  1. 9 m
  2. 9.61 m
  3. 12.04 m
  4. 14.42 m
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Measurement, STD2 M7 2012 HSC 28c

Jacques and a flagpole both cast shadows on the ground. The difference between the lengths of their shadows is 3 metres.
 

What is the value of , the length of Jacques’ shadow?     (3 marks)

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♦♦ Mean mark 24%