Ex 11.3 | Q : 4 | CH : 11 | 1st Year Math | New PTB 2025 | #11thClass #11thclassmaths #chapter11
📘 Ex 11.3 | Q: 4 | Ch: 11 | 1st Year Math | PTB 2025 🎯 Topic: Applications of Trigonometry 🌳 Question: Two points P and Q are in line with a tree. The distance between P and Q is 30 meters. The angles of elevation to the top of the tree from P and Q are 12° and 15° respectively. 🔍 Goal: Find the height of the tree using trigonometric functions. 📚 Board: Punjab Textbook Board (PTB) 📅 Session: 2025 👨🏫 Class: 1st Year (11th Class) 🧮 Chapter 11: Trigonometric Applications 📂 Exercise: 11.3 🧩 Concepts Used: Angle of Elevation, Height & Distance, Tangent Function (tanθ) #11thClass #1stYearMath #Chapter11 #Exercise11_3 #Trigonometry #PTBMath #MathInUrdu #HeightAndDistance #AngleOfElevation #learnwithkhuram Height of tree using trigonometry Find height using angle of elevation Trigonometry height and distance problems Class 11 trigonometry questions Trigonometry word problems class 11 1st year math chapter 11 exercise 11.3 Trigonometry height and distance class 11 Solve trigonometric application problems Height and distance question with solution Trigonometric applications in real life PTB 1st year math chapter 11 PTB class 11 math trigonometry New PTB 2025 math solution 1st year math exercise 11.3 PTB 11th class math PTB chapter 11 Punjab board class 11 trigonometry PTB height and distance problems PTB class 11 solved math Exercise 11.3 question 4 solution 1st year math trigonometry application PTB Q4 exercise 11.3 1st year math Find height of a tree given angles Solve height of tree using tan Trigonometry problem with angles 12 and 15 Question 4 trigonometry class 11 Math question height from two angles How to find tree height from two points Real world trigonometry example class 11 Solve angle of elevation class 11 Find tree height from distance and angle Class 11 math trigonometry solution Learn height and distance in Urdu Trigonometry concept in easy way Matric math advanced questions Board exam math question trigonometry How to solve trigonometric height problems Trigonometric word problems for beginners Real-life trigonometry problems solved 1st year trigonometry important questions Math for FSC part 1 chapter 11 Using tangent to find height Solve height distance with tan Draw triangle for angle elevation How to apply trigonometric ratio Tan theta height problems class 11 Right triangle height and distance Trigonometric ratios in real life Height distance formula class 11 Use tan formula for height Easy trick to find height of tree Trigonometry MCQs class 11 Trigonometry solved examples Urdu Exercise 11.3 complete solution Trigonometric application past paper Easy trigonometry questions for students Board math solved in Urdu FSC math chapter 11 lecture Height and distance full chapter Math lecture for class 11 trigonometry Trigonometry revision for FSC students Pakistani board math class 11 Lahore board math chapter 11 Punjab board FSC math lectures Board exam preparation math 1st year math Pakistani students Urdu math trigonometry explanation PTB math explained in Urdu Board math guide chapter 11 Class 11 board solution trigonometry FSC 1st year PTB trigonometry Easy solution for trigonometry Important questions class 11 math Class 11 exam preparation math Short tricks height and distance Solve trigonometry questions fast Learn trigonometry step by step Explained math question with diagram Real life example of angle of elevation Smart solution for trigonometric question Board important math solution 2025 Angle of elevation and depression Tangent function in triangle Solving triangles using trigonometry Tree height from ground angle Trigonometric word problem practice Real world use of sin cos tan Application of tangent in geometry Triangle application of trigonometry Elevation angle and object height Height and angle trigonometric application #Trigonometry #HeightAndDistance #1stYearMath #Exercise11_3 #Chapter11 #MathInUrdu #PTBMath2025 #11thClassMath #TrigonometryQuestion #MathLecture #Trigonometry #HeightAndDistance #1stYearMath #Class11Math #Chapter11 #Exercise11_3 #PTBMath2025 #MathInUrdu #FScMath #11thClassMath #TrigonometryProblems #AngleOfElevation #MathSolutions #HeightOfTree #MathLecture #TrigonometryMadeEasy #MathForBeginners #LearnTrigonometry #TrigonometryExplanation #MathBoardExam #TrigonometryPakistan #FScPart1 #MathWithKhuram #HeightDistanceProblem #RightTriangleMath #MathExamPrep #TanTheta #TreeHeightTrick #TrigonometryClass11 #MathVideos #TrigonometryFormula #1stYearLecture #TrigonometryUrdu #BoardExamMath #TrigonometryQuestion #EasyMathUrdu #UrduMathLecture #FSc2025Math #MathHelpClass11 #MathTutorial #TanFunction #MathBoard2025 #TrigonometryDiagrams #MathProblemSolving #SmartMathTricks #UrduScienceLecture #FScMathChapter11 #TrigonometryTriangle #TrigonometricRatios #MathSolutionUrdu #BoardPrepMath #ExamMathUrdu #StudyWithMeMath #MathematicsLecture #HeightAndAngle #Learning
