Distance between people

Distance between people

Pencil and paperOnline interactive
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This task is about using Pythagoras' theorem and trigonometry ratios to calculate distances.

Question 1Change answer

trigonometry ratios and pythagoras theorem
 
Use the formulae above to answer the following questions.
 
people-distance.png

              

Shane, Jake, Rahera, and Leah are standing in a paddock. What is the distance between
  1. Jake and Rahera?   metres
  2. Shane and Rahera?   metres
  3. Jake and Leah?   metres
Task administration: 
This task can be completed with pen and paper or online (with NO auto marking).
Levels:
5, 6
Description of task: 
Using Pythagoras' theorem and trigonometry ratios, students calculate distances between people standing in a paddock.
Answers/responses: 
 

Y10 (10/1998)

a) Accept 25.9-26.01 very difficult
b) Accept 167.9-168.1 very difficult
c) Accept 30-30.03
[if answer to a) was incorrect, accept if ]
very difficult

 

Diagnostic and formative information: 
  Common error Likely calculation Likely reason
a) 26.6 (approx.) 170 sin 9° Rounds 8.8° to 9°.