問 1
1 点In triangle \(XYZ\), the angle \(\angle Y = 90^{\circ}\). The side lengths are \(XY = 7\) cm and \(YZ = 10\) cm.
Calculate the size of angle \(\angle YXZ\), giving your answer correct to 1 decimal place.
Cambridge IGCSE · Mathematics (0580)
Right-angled triangles：練習問題
その場で採点される選択問題 4 問と、解説つきの記述問題 5 問。すべて「Right-angled triangles」からの出題です。
9 問19 点無料・登録不要
問 2
1 点A vertical flagpole stands on level ground. From a point on the ground 18.5 m from the base of the flagpole, the angle of elevation to the top of the flagpole is \(38^\circ\).
Calculate the height of the flagpole, giving your answer correct to 3 significant figures.
問 3
1 点A surveyor at a point A on horizontal ground measures the angle of elevation of the top of a vertical tower as \(25^{\circ}\). He then walks \(40\) m closer to the tower to point B, where the angle of elevation becomes \(40^{\circ}\).
Find the height of the tower, correct to 1 decimal place.
問 4
1 点In a right-angled triangle \(ABC\), the side opposite to angle \(BAC\) is \(BC = 5 \text{ cm}\) and the hypotenuse is \(AC = 12 \text{ cm}\). Calculate the size of angle \(BAC\) correct to 1 decimal place.
問 5
2 点A right-angled triangle has a hypotenuse of length \(13\text{ cm}\) and one leg of length \(5\text{ cm}\). Calculate the length of the third side.
まず自分で答えを書いてから、解説と照らし合わせましょう。
問 6
3 点A ship sails \(12\text{ km}\) North and then \(16\text{ km}\) East. Calculate the three-figure bearing of the ship from its starting point, to the nearest degree.
まず自分で答えを書いてから、解説と照らし合わせましょう。
問 7
4 点Two vertical poles of heights \(9\text{ m}\) and \(14\text{ m}\) stand on level ground. The distance between the bases of the two poles is \(12\text{ m}\). Calculate the straight-line distance between the tops of the two poles.
まず自分で答えを書いてから、解説と照らし合わせましょう。
問 8
2 点A vertical flagpole stands on horizontal ground. From a point on the ground \(25\text{ m}\) away from the base of the flagpole, the angle of elevation to the top of the flagpole is \(26^\circ\).
Calculate the height of the flagpole. Give your answer correct to 3 significant figures.
まず自分で答えを書いてから、解説と照らし合わせましょう。
問 9
4 点A person is standing at the top of a cliff of height \(45\text{ m}\) above sea level. From the top of the cliff, they observe a boat at sea.
(a) The angle of depression from the top of the cliff to the boat is \(19^\circ\). Calculate the direct distance from the observer to the boat. Give your answer correct to 3 significant figures.
(b) Calculate the horizontal distance from the base of the cliff to the boat. Give your answer correct to 3 significant figures.
まず自分で答えを書いてから、解説と照らし合わせましょう。
※ thinkaのコンテンツはAIにより生成されているため、内容が正確でない場合があります。補助教材としてご使用いただき、公式の教材と合わせてご確認ください。
模範解答は見ました。次はあなたの答案を採点します。
このページは良い答案の形を示せますが、あなたの答案に何が足りないかは教えられません。thinka は実際の採点基準に沿って記述答案を約 15 秒で採点します。
同じような問題をもっと解きたい？このトピックの新しい問題を、解きながら採点。
練習を始める