Thore friends - Aninu, Vijay and
Nishal
are playing hide and there
Anshu and vijay hide in the shows
anda vishal have to find both
of them at the positions of
three fiends are at A, B and C
respectively
shown in the
figure and forms a right
ongled triangle such that
#
AB =9m , BC = 3√3 cm and
B = 90
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Answer:
346c into 865 minus 990 plus
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Given : Anshu, Vijay and Vishal are at position A , B and C respectively
AB =9m , BC = 3√3 cm and B = 90°
To Find : (i) The measure of ∠A
(ii) The measure of ∠C is
(iii) The length of AC is
(iv) cos2A
(v) sin (C/2)
Solution:
AB =9m , BC = 3√3 cm and B = 90°
Tan A = BC/AB = 3√3/9 = 1/√3
=> A = 30°
A + B + C = 180°
=> 30° + 90° +C = 180°
=> C = 60°
length of AC
AC² = AB² + BC²
=> AC² = 9² + (3√3)²
=> AC² = 81 + 27
=> AC² = 108
=> AC = 6√3 cm
cos2A = cos 2(30°) = Cos 60° = 1/2
sin (C/2) = Sin ( 60°/2) = Sin 30° = 1/2
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