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ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 21 Heights and Distances Chapter Test

October 15, 2018 by Nirmala

ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 21 Heights and Distances Chapter Test

These Solutions are part of ML Aggarwal Class 10 Solutions for ICSE Maths. Here we have given ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 21 Heights and Distances Chapter Test.

ML Aggarwal SolutionsICSE SolutionsSelina ICSE Solutions

Question 1.
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
(i) the height of the tower (correct to one decimal place).
(ii) the distance of the tower from A.
Solution:
ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 21 Heights and Distances Chapter Test Q1.1

Question 2.
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.
Solution:
ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 21 Heights and Distances Chapter Test Q2.1

Question 3.
A 7m 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 demical.
Solution:
ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 21 Heights and Distances Chapter Test Q3.1

Question 4.
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.
Solution:
ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 21 Heights and Distances Chapter Test Q4.1

Question 5.
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.
Solution:
ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 21 Heights and Distances Chapter Test Q5.1

Question 6.
In the adjoining figure, the angle of elevation of the top P of a vertical tower from a point X is 60° ; at a point Y, 40 m vertically above X, the angle of elevation is 45°. Find
(i) the height of the tower PQ
(ii) the distance XQ
(Give your answer to the nearest metre)
ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 21 Heights and Distances Chapter Test Q6.1
Solution:
ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 21 Heights and Distances Chapter Test Q6.2
ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 21 Heights and Distances Chapter Test Q6.3

Question 7.
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.
Solution:
ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 21 Heights and Distances Chapter Test Q7.1
ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 21 Heights and Distances Chapter Test Q7.2

Question 8.
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.
Solution:
ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 21 Heights and Distances Chapter Test Q8.1

Question 9.
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.
Solution:
ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 21 Heights and Distances Chapter Test Q9.1

Question 10.
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
Solution:
ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 21 Heights and Distances Chapter Test Q10.1

We hope the ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 21 Heights and Distances Chapter Test help you. If you have any query regarding ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 21 Heights and Distances Chapter Test, drop a comment below and we will get back to you at the earliest.

 

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