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NSW Y11 Sine Rule Questions

This document contains 6 trigonometry questions using the sine rule that ask students to: 1) Find the exact ratio of x/y in a triangle where two angles are given. 2) Find the size of an angle in a triangle where two sides and one angle are given. 3) Find the height of a balloon above a road using the angles of elevation from two observers. 4) Show that two ratios of sides to opposite angles are equal in two different triangles. 5) Show and use a relationship between sides and opposite angles in a triangle to find lengths. 6) Solve problems related to angles of elevation and finding lengths on a ramp.

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adithyamanoj28
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49 views2 pages

NSW Y11 Sine Rule Questions

This document contains 6 trigonometry questions using the sine rule that ask students to: 1) Find the exact ratio of x/y in a triangle where two angles are given. 2) Find the size of an angle in a triangle where two sides and one angle are given. 3) Find the height of a balloon above a road using the angles of elevation from two observers. 4) Show that two ratios of sides to opposite angles are equal in two different triangles. 5) Show and use a relationship between sides and opposite angles in a triangle to find lengths. 6) Solve problems related to angles of elevation and finding lengths on a ramp.

Uploaded by

adithyamanoj28
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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NSW Y11 Sine Rule Extended Response Questions

Want answers? Use QR or code 571D on the Class Mathematics website. Page 1 of 2
Alternatively click get answers for instant access.

Question 1 TRIGONOMETRY 
􏠾 SINE RULE Marks (1)

In ΔABC , ∠ABC , ∠ACB . Find the


o o
= 45 = 30
x
exact ratio . 􏁘

y

18043

Question 2 TRIGONOMETRY 
􏠾 SINE RULE Marks (1)

In ΔABC , ∠ABC , AC=8 and AB=5. Find the size(s) of ∠ACB, to the nearest degree.
o
= 62

􏁘

18044

This quiz content is licensed to Class Mathematics


© CLASS EDUCATION 2020
NSW Y11 Sine Rule Extended Response Questions Question 6
Want answers? Use QR or code 571D on the Class Mathematics website. Page 2 of 2
Alternatively click get answers for instant access. A ramp XY
metres. The
Question 3 TRIGONOMETRY 
􏠾 SINE RULE Marks (1)

Two observers A and C are 100 m apart on a straight road.


They observe a balloon at angles of elevation 42 and 58
o o
􏁘

respectively. Find the height of the balloon above the road.

(Give your answer to the nearest metre)

(i) Show tha

(ii) Hence sh

(iii) Given th

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Question 4 TRIGONOMETRY 
􏠾 SINE RULE Marks (1) Note: this is

In ΔABD, AB = a, BD = b and ∠BAD = θ. In ΔACD,


x a
AC = x, CD = y and ∠CAD = θ. Show that = 􏁘

y b

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Question 5 TRIGONOMETRY 
􏠾 SINE RULE Marks (1)

In the triangle AP C , B is the point on AC such that ∠AP B = ∠BP C = θ .


􏁘

(i) Using the sine rule, or otherwise, show that AB × P C = AP × BC .

(ii) Given that AP = 3 cm, P C = 5 cm and θ = 60


∘
, find the length of AC and AB.

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This quiz content


31103 © CLASS EDUCATION 2

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