Question

a contract was awarded to construct a vertical pillar at the horizontal distance of 100 m from a fixed piont. it ws decided that angle of elevation of the top of complete pillar from this point to be 60 degree . contracter finish the job by making the pillar such that angle of elevation of itz top ws 45 degree. a)find the height of the pillar to be increased to as per the term of contract?

Answer 1

(Please refer the attached figure)
Let D be the fixed point, AC be the pillar
Then,CD=100m
AB is the height to be increased
In triangle BCD,
tan45°=BC/DC
1=BC/100m
BC=100m
In triangle ACD,
tan60°=AC/DC
√3=AC/100m
AC=100√3
AC=100×1.73(√3=1.73)
AC=173m
Height to be increased=AB=AC-BC
=173m-100m
=73m (approx.)
Therefore,the pillar has to be increased by 73m to fulfill the conditions of the contract
Thank You

Answer 2

Answer:

73 m( approx)

Step-by-step explanation:

The explan is in the picture