Class 10 ICSE Height&Distance
This study guide is your ultimate resource for mastering ICSE Class 10 Mathematics. It offers clear explanations of key concepts, ample practice problems, and effective strategies for tackling questions with confidence. With a focus on exam preparation, this guide provides the tools you need to excel in your ICSE Mathematics exam.
class 10 Height&Distance Exercise20
Height&Distance
Select Exercise
Q1 The angle of elevation of the top of a tower from a point A (on the ground) is 30° . On walking 50 m towards the tower, the angle of elevation is found to be 60° . Calculate - the height of the tower (correct to one decimal place).
- the distance of the tower from A
Q2 An aeroplane 3000 m high passes vertically above another aeroplane at an instant when the angles of elevation of the two aeroplanes from the same point on the ground are 60° and 45° respectively. Find the vertical distance between the two planes.
Q3 A 7 m long flagstaff is fixed on the top of a tower. From a point on the ground, the angles of elevation of the top and bottom of the flagstaff are 45° and 36° respectively. Find the height of the tower correct to one place of decimal.
Q4 A boy 1.6 m tall is 20 m away from a tower and observes that the angle of elevation of the top of the tower is 60° . Find the height of the tower.
Q5 A boy 1.54 m tall can just see the sun over a wall 3.64 m high which is 2.1 m away from him. Find the angle of elevation of the sun
Q6 An aeroplane is flying horizontally 1 km above the ground is observed at an elevation of 60° . After 10 seconds, its elevation is observed to be 30° . Find the speed of the aeroplane in km/hr.
Q7 A man on the deck of a ship is 16 m above the water level. He observes that the angle of elevation of the top of a cliff is 45° and the angle of depression of the base is 30° . Calculate the distance of the cliff from the ship and the height of the cliff
Q8 There is a small island in between a river 100 metres wide. A tall tree stands on the island. P and Q are points directly opposite to each other on the two banks and in the line with the tree. If the angles of elevation of the top of the tree from P and Q are 30° and 45° respectively, find the height of the tree.
Q9 A man standing on the deck of the ship which is 20 m above the sea-level, observes the angle of elevation of a bird as 30° and the angle of depression of its reflection in the sea as 60° . Find the height of the bird.
Add a comment