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Determine the angle of elevation of the top of the tower from the eye of the observer. Solution: which may be either positive or negative. Find the height of the tower. Question 6: The angle of elevation of the top of a tower from two points distant s and t from its foot are complementary. Solution: Let the height of the tower is h.
Hence proved. Question 8: A vertical tower stands on a horizontal plane and is surmounted by a vertical flag staff of height h. Find the distance between the two towers and also the height of the tower. Find the distance between the two objects. Question A ladder against a vertical wall at an inclination a to the horizontal. Sts foot is pulled away from the wall through a distance p, so that its upper end slides a distance q down the wall and then the ladder makes an angle B to the horizontal.
Show that Solution:. Question A window of a house is h m above the ground. Form the window, the angles of elevation and depression of the top and the bottom of another house situated on the opposite side of the lane are found to be a and p, respectively. Question The lower window of a house is at a height of 2 m above the ground and its upper window is 4 m vertically above the lower window.
Find the height of the balloon above the ground. Solution: Let the height of the balloon from above the ground is H. I think you got complete solutions for this chapter. Solution: False To understand the fact of this question, consider the following example.
Question 8 If a man standing on a platform 3 metres above the surface of a lake observes a cloud and its reflection in the lake, then the angle of elevation of the cloud is equal to the angle of depression of its reflection. Solution: False From figure, we observe that, a man standing on a platform at point P, 3 m above the surface of a lake observes a cloud at point C.
Let the height of the cloud from the surface of the platform is h. If the height of the tower is doubled, then the angle of elevation of its top will also be doubled. Note : Teacher should explain about inverse functions for the given solution. Solution True Case i : Let the height of a tower be h and the distance of the point of observation from its foot is x. Question 1 Solution:. Question 2 Solution:. Question 9 A ladder 15 metres long just reaches the top of a vertical wall.
Therefore, working on the different types of problems given in NCERT books can be very helpful for students to achieve maximum marks in their examinations.
Main topics discussed in Class 10 Mathematics chapter- Introduction to Trigonometry are:. The questions and answers given in NCERT textbooks at the end of each chapter are not only important for examination but also essential for understanding the concepts in a better way.
Hence, we strongly recommend reading these books thoroughly and solving all the exercise questions given at the end of each chapter.
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