SOLUTION: A boy stands at a point M on the same horizontal level as the foot, T, of a vertical building. He observes an object on the top, P of the building at an angle of elevation of 66°.

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Question 1203000: A boy stands at a point M on the same horizontal level as the foot, T, of a vertical building. He observes an object on the top, P of the building at an angle of elevation of 66°. He moves directly backwards to a new point C and observes the same object at an angle of elevation of 53°. If |MT|=50m, :
(a) illustrate the information in a diagram;
(b) calculate, correct to one decimal place:
(i) the height of the building:
(ii) |MC|.

Found 2 solutions by Edwin McCravy, mananth:
Answer by Edwin McCravy(20065)   (Show Source): You can put this solution on YOUR website!


(i) The height of the building = TP




 rounds to 112.3 m.

(ii)







 rounds to 34.6 m.

Edwin


Answer by mananth(16946)   (Show Source): You can put this solution on YOUR website!
.
First find PT
Knowing PT find CT
CT-50= MC

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