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Giải bài tập 4 trang 72 SGK Toán 9 tập 1 - Chân trời sáng tạo

Một người quan sát tại ngọn hải đăng ở vị trí cao 149 m so với mặt nước biển thì thấy một du thuyền ở xa với góc nghiêng xuống là 27o (Hình 1). Hỏi thuyền cách xa chân hải đăng bao nhiêu mét (kết quả làm tròn đến hàng đơn vị)? A. 292 m B. 288 m C. 312 m D. 151 m

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

Toán - Văn - Anh
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Đề bài

Một người quan sát tại ngọn hải đăng ở vị trí cao 149 m so với mặt nước biển thì thấy một du thuyền ở xa với góc nghiêng xuống là 27o ꦑ(Hình 1). Hỏi thuyền cách xa chân hải đăng bao nhiêu mét (kết quả làm tròn đến hàng đơn vị)?

A. 292 m B. 288 m C. 312 m D. 151 m 

Video hướng dẫn giải

Phương pháp giải - Xem chi tiết

Tính góc ACB. Sau đó áp dụng Định lí: Mỗi cạnh góc vuông bằng cạnh góc vuông còn lại nhân tang góc đối hoặc nhân côtang góc kề.

Lời giải chi tiết

Nhìn vào hình ta có: \(\widehat {ACB} = {90^o} - {27^o} = {63^o}\) Xét tam giác ABC vuông tại B, \(\widehat {ACB} = {63^o}\), ta có:

AB = BC. tan 63o = 149. tan 63o \( \approx \) 292 m

Chọn đáp án A.

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Tham Gia Group Dành Cho Lớp 9 - Ôn Thi Vào Lớp 10 Miễn Phí

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