2.)Mang ambo's Tv antenna was damaged When Typhoon Rolly hit Cavite He decided to put Braces to support the 6 foot hugh antenna at a 45 angle. what should be the total length of the metal brace if he will use three braces to support the antenna
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Given :- Mang ambo's Tv antenna was damaged When Typhoon Rolly hit Cavite He decided to put Braces to support the 6 foot hugh antenna at a 45 angle. what should be the total length of the metal brace if he will use three braces to support the antenna ?
Solution :-
In right angled ∆ABC, we have,
→ ∠ACB = 45° (given)
→ AB = 6 foot = Height of antenna (given)
→ AC = Let x foot . (Length of a brace)
so,
→ sin 45° = Perpendicular / Hypotenuse
→ (1/√2) = AB / AC
→ (1/√2) = 6 / x
→ x = 6√2 foot.
then,
→ Length of 3 metal braces = 3 * x = 3 * 6√2 = 18√2 foot (Ans.)
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