13. (i) Write down the value of sin 30° as a fraction. (ii) NOT TO SCALE 30 -4x (x- 3)2 30° B C In triangle ABC, angle ACB= 90° and angle ABC = 30°. AC-(x-3) and AB (30-4x). %3D Use your answer to part (b)(i) to write down an equation in x. Show that it simplifies to x-4x-6-0. (iii) Solve the equation x-4x- 6-0. Show all your working and give your answers correct to 2 decimal places.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.7: Applied Problems
Problem 74E
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Question
Q13.
(i) Write down the value of sin 30 as a fraction.
(ii)
NOT TO
SCALE
30-4x
(x- 3)2
30
B
In triangle ABC, angle ACB =90° and angle ABC = 30°.
AC (x-3) and AB (30-4x).
Use your answer to part (b)(i) to write down an equation in x.
Show that it simplifies to x2-4xr-6-0.
(iii) Solve the equation x- 4x- 6-0.
Show all your working and give your answers correct to 2 decimal places.
(iv) Find the length of AB when AC is greater than 10.
Transcribed Image Text:Q13. (i) Write down the value of sin 30 as a fraction. (ii) NOT TO SCALE 30-4x (x- 3)2 30 B In triangle ABC, angle ACB =90° and angle ABC = 30°. AC (x-3) and AB (30-4x). Use your answer to part (b)(i) to write down an equation in x. Show that it simplifies to x2-4xr-6-0. (iii) Solve the equation x- 4x- 6-0. Show all your working and give your answers correct to 2 decimal places. (iv) Find the length of AB when AC is greater than 10.
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