Math, asked by yoonah04, 2 months ago

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​

Answers

Answered by RvChaudharY50
2

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 = 182 foot (Ans.)

Learn more :-

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