Trigonometry — practice questions, page 3
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The angles of a quadrilateral are in arithmetic progression with common difference 10°. Find the…The two acute angles of a right triangle differ by π/10 radian. Find the larger one in degrees.A 20 m ladder leans against a vertical wall and makes 60° with the ground. How high up the wall…A boat is seen from the top of a 40 m high cliff at an angle of depression of 60°. How far is the…The angle of elevation of the top of a tower from a point A on the ground is 45°. On walking 30 m…From a point B on the ground, the top of a tower is seen at an elevation of 60°. Moving 50 m…From the top of a 20 m high building, the angle of elevation of the top of a tower is 60° and the…A mast stands on the roof of a 30 m tall hostel. From a point P on the ground, the angles of…An aeroplane flies level at a height of 2400 m. From a point O on the ground its angle of…From the top of a 50 m high lighthouse, the angles of depression of two ships on the same side, in…Standing on one bank of a river, Farhan sees the top of a tree on the opposite bank at an…The angles of elevation of the top of a tower from two points 4 m and 25 m from its foot, on the…From the deck of a ship 12 m above the water, the angle of elevation of the top of a cliff is 45°…Pooja, whose eyes are 1.6 m above the ground, stands 10√3 m from a chimney and sees its top at an…A bird sits on top of an 80 m tall tree. From a point O on the ground its angle of elevation is…Two men on opposite sides of a 75 m tall tower see its top at elevations of 30° and 60°. How far…Two people stand on the same side of a 50 m tall tower, in line with its foot. They see its top at…A 10 m high building faces a tower. From the building's top, the angle of elevation of the tower's…A 6 m flagstaff stands on top of a tower. From a point on level ground, the angles of elevation of…Isha, 1.5 m tall, walks straight away from the foot of a 4.5 m lamp-post at 1.2 m/s. How long is…A 60 m tall building is seen from point A on the ground at an elevation of 30°. How far must one…From the top of a 96 m tower, the angles of depression of two cars on opposite sides of it are α…A storm snaps a tree. The broken part bends over so that its top touches the ground 10 m from the…From the top of a 12 m building, the angle of elevation of the top of a tower is 30°; from the…From a point P at height h above a still lake, the angle of elevation of a cloud is α and the…
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