ЁЯУв Too many exams? DonтАЩt know which one suits you best? Book Your Free Expert ЁЯСЙ call Now!


    Question

    A man observes the top of a tower at an angle of

    elevation of 45┬░. He walks 50 meters towards the tower, and the angle of elevation becomes 60┬░. What is the height of the tower?
    A 25(тИЪ3+3) meters Correct Answer Incorrect Answer
    B 50тИЪ3 meters Correct Answer Incorrect Answer
    C 25(тИЪ3-3) meters Correct Answer Incorrect Answer
    D 50(тИЪ3+3) meters Correct Answer Incorrect Answer

    Solution

    Let the height of the tower be h, and the initial distance from the man to the tower be d. From the first observation: tan(45┬░) = h/d, so h = d. From the second observation: tan(60┬░) = h/(d - 50), so h/(d - 50) = тИЪ3. Substitute h = d into the second equation and solve to get h = 25(тИЪ3+3) meters. Correct option: a) 25(тИЪ3+3) meters

    Practice Next
    More Quant Miscellaneous Questions
    ask-question