Here you get the CBSE Class 10 Mathematics chapter 8, Introduction to Trigonometry and its Applications: NCERT Exemplar Problems and Solutions (Part-IVB). This part includes solutions of Question Number 7 to 12 from Exercise 8.4 of NCERT Exemplar Problems for Class 10 Mathematics Chapter: Introduction to Trigonometry and its Applications. This exercise comprises only the Long Answer Type Questions framed from various important topics in the chapter. Each question is provided with a detailed solution.
NCERT Exemplar problems are a very good resource for preparing the critical questions like Higher Order Thinking Skill (HOTS) questions. All these questions are very important to prepare for CBSE Class 10 Mathematics Board Examination 2017-2018 as well as other competitive exams.
Find below the NCERT Exemplar problems and their solutions for Class 10 Mathematics Chapter, Introduction to Trigonometry and its Applications:
Long Answer Type Questions (Q. No. 7-12)
Question. 7 The shadow of a tower standing on a level plane is found to be 50m longer when Sun's elevation is 30° than when it is 60°. Find the height of the tower.
Let AC be the tower of height h and 60° and 30° be its angles of elevation at distances x m and (x + 50) m, respectively as shown below.
Question. 8 A vertical tower stands on a horizontal plane and is surmounted by a vertical flag staff of height h. At a point on the plane the angles of elevation of the bottom and the top of the flag staff are α and β, respectively. Prove
Question. 10 If sinθ + cosθ = p and secθ + cosecθ = q, then prove that q(p2 -l) = 2p.