21 A contract was made to construct a vertical pillar at ahorizontal distance of 100m from a fixed point A - Maths - Some Applications of Trigonometry

Question

21 A contract was made to construct a vertical pillar at
ahorizontal distance of 100m from a fixed point A was decidedthat
angle of elevation of the top of the completed pillar fromthis
point to be 600 The contractor finished the job by makingpillar
such that angle of elevation of its top was 450(a) Find the height
of the pillar to be increased as per the termsof the contract (b)
Contractor demands for the full payment for the work (i) isit
justified (ii) which value he is lacking

Priyanka Kedia · Accepted Answer

Let the horizontal distance BC=100 mIn ΔBDC,tan
450=BDBC⇒1=BD100⇒BD=100 mIn ΔABC,tan
600=ABBC⇒3=AD+BD100⇒3=AD+100100⇒AD+100=100×3
⇒AD+100=100×1 73⇒AD=173-100⇒AD=73 mHeight
of the pillar as per the terms of the contract=173 mHeight of the
constructed pillar=100 mThus, height to be increased=173-100=73
m(B) It is not justified if he takes full payment (C) He is lacking
honesty