{"id":30319,"date":"2019-01-16T13:55:35","date_gmt":"2019-01-16T13:55:35","guid":{"rendered":"https:\/\/cbselibrary.com\/?p=30319"},"modified":"2020-11-27T15:41:33","modified_gmt":"2020-11-27T10:11:33","slug":"ncert-solutions-for-class-10-maths-chapter-9","status":"publish","type":"post","link":"https:\/\/cbselibrary.com\/ncert-solutions-for-class-10-maths-chapter-9\/","title":{"rendered":"NCERT Solutions for Class 10 Maths Chapter 9 Some Applications of Trigonometry Ex 9.1"},"content":{"rendered":"

NCERT Solutions for Class 10 Maths Chapter 9 Some Applications of Trigonometry Ex 9.1 are part of NCERT Solutions for Class 10 Maths. Here are we have given Chapter 9 Some Applications of Trigonometry\u00a0Class 10 NCERT Solutions Ex 9.1.<\/strong><\/p>\n

Trigonometry can be used in many ways in the things around us like we can use it for calculating the height and distance of some objects without calculating them actually. We are provides free comprehensive chapter wise class 10 Mathematics notes with proper images & diagram. Here you will find all the answers to the NCERT textbook questions of Chapter 9 Some Applications of Trigonometry.<\/p>\n\n\n\n\n\n\n\n\n\n\n\n
Board<\/strong><\/td>\nCBSE<\/td>\n<\/tr>\n
Textbook<\/strong><\/td>\nNCERT<\/td>\n<\/tr>\n
Class<\/strong><\/td>\nClass 10<\/td>\n<\/tr>\n
Subject<\/strong><\/td>\nMaths<\/td>\n<\/tr>\n
Chapter<\/strong><\/td>\nChapter 9<\/td>\n<\/tr>\n
Chapter Name<\/strong><\/td>\nSome Applications of Trigonometry<\/td>\n<\/tr>\n
Exercise<\/strong><\/td>\nEx 9.1<\/td>\n<\/tr>\n
Number of Questions Solved<\/strong><\/td>\n16<\/td>\n<\/tr>\n
Category<\/strong><\/td>\nNCERT Solutions<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

NCERT Solutions for Class 10 Maths Chapter 9 Some Applications of Trigonometry Ex 9.1<\/h2>\n

NCERT Solutions for Class 10 Maths<\/a><\/p>\n

Page No: 203<\/p>\n

Question\u00a0\"http:\/\/1.bp.blogspot.com\/-Zf9a-LDpwyM\/VXv9xUXApEI\/AAAAAAAAAt8\/PecVykpMrWo\/s1600\/ch-11-some-applications%2Bof-trigo-1.PNG\"<\/strong>

Solution:<\/strong>
\nIn the Figure, AB is the pole.
\n\"NCERT<\/p>\n

Question\u00a02.<\/strong> A tree breaks due to storm and the broken part bends so that the top of the tree touches the ground making an angle 30\u00b0 with it. The distance between the foot of the tree to the point where the top touches the ground is 8 m. Find the height of the tree.<\/p>\n

Solution:<\/strong>
\n\"NCERT
\nLet AC be the original tree and be the broken part which makes an angle of 30o<\/sup>\u00a0with the ground.
\n\"NCERT<\/p>\n

Question\u00a03.<\/strong> A contractor plans to install two slides for the children to play in a park. For the children below the age of 5 years, she prefers to have a slide whose top is at a height of 1.5 m, and is inclined at an angle of 30\u00b0 to the ground, whereas for elder children, she wants to have a steep slide at a height of 3 m, and inclined at an angle of 60\u00b0 to the ground. What should be the length of the slide in each case?<\/p>\n

Solution:<\/strong>
\nIn the two figures, AC and PR are the slides for younger and elder children respectively
\n\"NCERT<\/p>\n

Page No: 204<\/p>\n

Question\u00a04.<\/strong> The angle of elevation of the top of a tower from a point on the ground, which is 30 m away from the foot of the tower, is 30\u00b0. Find the height of the tower.<\/p>\n

Solution:<\/strong>
\n\"NCERT<\/p>\n

Question\u00a05.<\/strong>
\nA kite is flying at a height of 60 m above the ground. The string attached to the kite is temporarily tied to a point on the ground. The inclination of the string with the ground is 60\u00b0. Find the length of the string, assuming that there is no slack in the string.<\/p>\n

Solution:<\/strong>
\n\"NCERT
\nLet A be the position of the kite and the string is tied to point C on ground.
\n\"NCERT<\/p>\n

Question\u00a06.<\/strong> A 1.5 m tall boy is standing at some distance from a 30 m tall building. The angle of elevation from his eyes to the top of the building increases from 30\u00b0 to 60\u00b0 as he walks towards the building. Find the distance he walked towards the building.<\/p>\n

Solution:<\/strong>
\n\"NCERT<\/p>\n

Question\u00a07.<\/strong>
\nFrom a point on the ground, the angles of elevation of the bottom and the top of a transmission tower fixed at the top of a 20 m high building are 45\u00b0 and 60\u00b0 respectively. Find the height of the tower.<\/p>\n

Solution:<\/strong>
\n\"NCERT
\nLet BC be the building, AB be the transmission tower, and D be the point on ground from where elevation angles are to be measured.
\n\"NCERT<\/p>\n

Question\u00a08.<\/strong> A statue, 1.6 m tall, stands on the top of a pedestal. From a point on the ground, the angle of elevation of the top of the statue is 60\u00b0 and from the same point the angle of elevation of the top of the pedestal is 45\u00b0. Find the height of the pedestal.<\/p>\n

Solution:<\/strong>
\n\"NCERT
\nLet AB be the statue, BC be the pedestal and D be the point on ground from where elevation angles are to be measured.
\n\"NCERT<\/p>\n

Question\u00a09.<\/strong> The angle of elevation of the top of a building from the foot of the tower is 30\u00b0 and the angle of elevation of the top of the tower from the foot of the building is 60\u00b0. If the tower is 50 m high, find the height of the building.<\/p>\n

Solution:<\/strong>
\n\"NCERT<\/p>\n

Question\u00a010.<\/strong> Two poles of equal heights are standing opposite each other on either side of the road, which is 80 m wide. From a point between them on the road, the angles of elevation of the top of the poles are 60\u00b0 and 30\u00b0, respectively. Find the height of the poles and the distances of the point from the poles.<\/p>\n

Solution:<\/strong>
\n\"NCERT<\/p>\n

Question\u00a011.<\/strong> A TV tower stands vertically on a bank of a canal. From a point on the other bank directly opposite the tower, the angle of elevation of the top of the tower is 60\u00b0. From another point 20 m away from this point on the line joining this point to the foot of the tower, the angle of elevation of the top of the tower is 30\u00b0 (see Fig. 9.12). Find the height of the tower and the width of the canal.
\n\"NCERT<\/p>\n

Solution:<\/strong>
\n\"NCERT<\/p>\n

Question\u00a012.<\/strong> From the top of a 7 m high building, the angle of elevation of the top of a cable tower is 60\u00b0 and the angle of depression of its foot is 45\u00b0. Determine the height of the tower.<\/p>\n

Solution:<\/strong>
\n\"NCERT<\/p>\n

Question\u00a013.<\/strong> As observed from the top of a 75 m high lighthouse from the sea-level, the angles of depression of two ships are 30\u00b0 and 45\u00b0. If one ship is exactly behind the other on the same side of the lighthouse, find the distance between the two ships.<\/p>\n

Solution:<\/strong>
\n\"NCERT
\nLet AB be the lighthouse and the two ships be at point C and D respectively.
\n\"NCERT<\/p>\n

Page No: 205<\/p>\n

Question 14.<\/strong> A 1.2 m tall girl spots a balloon moving with the wind in a horizontal line at a height of 88.2 m
\nfrom the ground. The height of 88.2 m from the ground. The angle of elevation of the balloon from the eyes of the girl at any instant is 60\u00b0. After some time, the angle of elevation reduces to 30\u00b0. Find the distance travelled by the balloon during the interval.<\/p>\n

Solution:<\/strong>
\n\"NCERT
\n\"NCERT<\/p>\n

Question\u00a015.<\/strong> A straight highway leads to the foot of a tower. A man standing at the top of the tower observes a car at an angle of depression of 30\u00b0, which is approaching the foot of the tower with a uniform speed. Six seconds later, the angle of depression of the car is found to be 60\u00b0. Find the time taken by the car to reach the foot of the tower from this point.<\/p>\n

Solution:<\/strong>
\n\"NCERT
\nLet AB be the tower. C is the original position of the car which changes to D after six seconds.
\n\"NCERT<\/p>\n

Question\u00a016.<\/strong> The angles of elevation of the top of a tower from two points at a distance of 4 m and 9 m from the base of the tower and in the same straight line with it are complementary. Prove that the height of the tower is 6 m.<\/p>\n

Solution:<\/strong>
\n\"NCERT
\nLet AQ be the tower and R, S respectively be the points which are 4m, 9m away from base of tower.
\n\"NCERT
\nAs the height can not be negative, the height of the tower is 6 m.<\/p>\n

\n

NCERT Solutions For Class 10 Maths – AplusTopperhttps:\/\/t.co\/q7hSKh3xmf<\/a>#NCERTSolutionsForClass10Maths<\/a> #NCERTSolutions<\/a> #AplusTopper<\/a><\/p>\n

— ObulReddy cbse (@ObulReddyCBSE) August 3, 2018<\/a><\/p><\/blockquote>\n