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(20064) About Me  (Show Source):
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(i) The height of the building = TP

+TP%2FMT=tan%2866%5Eo%29
TP%2F50+=+2.246036774
TP=50%2A2.246036774
TP=112.3018387 rounds to 112.3 m.

(ii)

TP%2FTC=tan%2853%5Eo%29
112.3018387%2FTC=1.327044822
112.3018387=1.327044822TC
112.3018387%2F1.327044822=TC
84.62550536=TC

MC+=+TC-MT+=+84.62550536-50=34.62550536 rounds to 34.6 m.

Edwin

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