## Description

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## Explanation & Answer

Here are the answers. please tell me if you have any problem.

1. A= 49°, B=90°, C= 180-(90+49)= 180-139= 41°

a= 7, sin(𝐴) =

𝑎

𝑐

∴𝑐=

𝑎

sin(𝐴)

=

7

sin(49)

= 𝟗. 𝟐𝟕𝟓

𝑎

𝑎

7

∴𝑏=

=

= 𝟔. 𝟎𝟖𝟓

𝑏

tan(𝐴) tan(49)

tan(𝐴) =

2. A= 22°, B=90°, C= 180-(90+22)= 180-112= 68°

𝑎

c= 8, sin(𝐴) = ∴ 𝑎 = 𝑐 × sin(𝐴) = 8 × sin(22) = 𝟐. 𝟗𝟗𝟕

𝑐

𝑏

cos(𝐴) =

∴ 𝑏 = 𝑐 × cos(𝐴) = 8 × cos(8) = 𝟕. 𝟒𝟏𝟕

𝑐

3. B=90°, a = 7, c= 16, b=√𝑐 2 − 𝑎2 = √162 − 72 = 3√23 = 𝟏𝟒. 𝟑𝟖𝟕 (Phythagorth

theory)

𝑎

7

A=sin−1 ( ) = sin−1 ( ) = 𝟐𝟓. 𝟗𝟒° = 𝟐𝟓°𝟓𝟕′

𝑐

16

C= 180...

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