A 20cm -25cm d 30cm a C In the diagram above (not drawn to scale), AB = 20 cm, CD= 30cm₁ DB-25 cm and the angle DBC=t° 1) Given that cos t°² = ²/25² the length use the cosine rule, or otherwise calculate of AD to the nearest cm. ii) Write down an expression Sor sin BED in terms of t and hence show that sin BED - 4

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter62: Volumes Of Prisms And Cylinders
Section: Chapter Questions
Problem 38A: A copper casting is in the shape of a prism with an equilateral triangle base. The length of each...
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Cosine Rule
a² = b ² +c² - 2bc Cos A
551² = 709.5² + 308² £os - 2 (8709.5) (308) (03
2/03/2024
с
AD =
C
it -
25cm
f
A
гост
B
с
In the diagram above (not drawn to scale), AB = 20 cm, CD = 30cm₁
DB= 25 cm and the angle DBC=t°
1) Given that cos t° = ²25²
x AB + BC = AC
yil 20 + 24 = 446
d
Cos (225) = 75.7°
30cm
the length of AD to the nearest cm.
a
show that sin BCD = 25.
ii) Write down an expression for sin BED in terms of + and hence
use the cosine rule, or otherwise calculate
Transcribed Image Text:Cosine Rule a² = b ² +c² - 2bc Cos A 551² = 709.5² + 308² £os - 2 (8709.5) (308) (03 2/03/2024 с AD = C it - 25cm f A гост B с In the diagram above (not drawn to scale), AB = 20 cm, CD = 30cm₁ DB= 25 cm and the angle DBC=t° 1) Given that cos t° = ²25² x AB + BC = AC yil 20 + 24 = 446 d Cos (225) = 75.7° 30cm the length of AD to the nearest cm. a show that sin BCD = 25. ii) Write down an expression for sin BED in terms of + and hence use the cosine rule, or otherwise calculate
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