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Bài 8.10 trang 63 SGK Toán 11 tập 2 - Cùng khám phá

Một cây ăng-ten thẳng đứng với mặt đất và được buộc giằng bởi 4 dây cáp từ một điểm B cách chân A của ăng-ten 4 mét . Khoảng cách từ A đến chân buộc dây giằng bằng 3m ( Hình 8.27).
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Đề bài

Một cây ăng-ten thẳng đứng với mặt đất và được buộc giằng bởi 4 dây cáp từ một điểm B cách chân A của ăng-ten 4 mét . Khoảng cách từ A đến chân buộc dây giằng bằng 3m ( Hình 8.27). Tính tổng chiều dài dây cáp để giằng cột ăng- ten ( không tính các mối nối)

Phương pháp giải - Xem chi tiết

Sử dụng định lí Pi – ta – go trong tam giác vuông với hai cạnh góc vuông lần lượt bằng \(3m;\,\,4m\) và dây cáp là cạnh huyền Từ đó tính được chiều dài một sợi dây cáp và chiều dài của 4 dây cáp

Lời giải chi tiết

Chiều dài 1 dây cáp là \(\sqrt {{4^2} + {3^2}}  = 5\)Chiều dài của 4 dây cáp là \(4.5 = 20m\)

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Tham Gia Group Dành Cho Lớp 11 Chia Sẻ, Trao Đổi Tài Liệu Miễn Phí

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