Question

VALUE BASED QUESTION:- A CONTRACT WAS AWARDED TO CONSTRUCT A VERTICAL PILLAR AT A HORIZONTAL DISTANCE OF 100m FROM A FIXED POINT. IT WAS DECIDED THAT ANGLE OF ELEVATION OF THE TOP OF THE COMPLETE PILLAR FROM THIS POINT TO BE 60 DEGREE. CONTRACTOR FINISHED THE JOB BY MAKING A PILLAR SUCH THAT THE ANGLE OF ELEVATION OF ITS TOP WAS 45DEGREE. A] FIND THE HEIGHT OF THE PILLAR TO BE INCREASED AS PER THE TERMS OF CONTRACT. B] CONTRACTOR DEMANDS FOR THE FULL PAYMENT FOR HIS WORK 1. is he justified? 2. which value is he lacking?

Answer 1

Let the decided height of pillar be H m
∴ tan60° = H/100
⇒H = 100√3 = 100×1.732 = 173.2 m
now, the contracter made pillar of height of h m
∴tan45°= h/100
⇒h = 100 m
A) height to be increased = 173.2 - 100 = 73.2 m
B) No, he is not justified with his words,
that means he is a dishonest contracter

Answer 2

In the 2 attachments I have given you the answer how I answered it in the exam.

Thank you.....!!!!
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Yours, Jahnavi.