ktprada
18.10.2019 •
Mathematics
two similar triangles are shown
amno was dilated, then
to create ayhq
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Ответ:
The height of the tower is 141.74 meters.
Step-by-step explanation:
See the attached diagram.
Let the position of the tower os AB with A as the base and B is the top.
Now, angle of elevation of point B from point C is 50°, and the from point D is 40°, and hence, CD = 50 meters,
Now, from Δ ABC,
⇒
.......... (1)
Again, from Δ ABD,
⇒
.......... (2)
Now, DC = AD - AC
⇒ 50 = 1.192x - 0.839x
⇒ 50 = 0.353x
⇒ x = 141.74 meters.
Hence, the height of the tower is 141.74 meters. (Answer)