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Giải bài tập 7 trang 66 SGK Toán 9 tập 1 - Chân trời sáng tạo

Một cái thang dài 12m được đặt dựa vào một bức tường sao cho chân thang cách tường 7m (Hình 11). Tính góc (alpha ) tạo bởi thang và tường.

Tổng hợp Đề thi vào 10 có đáp án và lời giải

Toán - Văn - Anh
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Đề bài

Một cái thang dài 12m được đặt dựa vào một bức tường sao cho chân thang cách tường 7m (Hình 11). Tính góc \(\alpha \) tạo bởi thang và tường.

Video hướng dẫn giải

Phương pháp giải - Xem chi tiết

-  Theo dữ kiện đề bài ta có một tam giác vuông với cạnh góc vuông lần lượt là 12m và 7m. -  Từ tỉ số giữa cạnh đối và cạnh huyền được gọi là tang của góc \(\alpha \), kí hiệu sin\(\alpha \).Sau đó ta tìm góc\(\alpha \) tương tự như VD5 trang 65.

Lời giải chi tiết

Theo đề bài ta có tam giác vuông sau:

Ta có sin \(\alpha \) = \(\frac{{BC}}{{AC}} = \frac{7}{{12}}\). Sử dụng máy tính cầm tay, ta được góc \(\alpha \) \( \approx {35^o}41'\).

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