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R and S are two observation posts on the same horizontal ground as the foot P of a vertical tower PQ The tower is 18m due north of S and 24m east of R. The angle of elevation of Q from S is 35°.Calculate the height PQ.

Respuesta :

Answer: [tex]12.6\ m[/tex]

Step-by-step explanation:

Given

Distance of Point S is 18 m from tower

Distance of point R is 24 m form tower

Suppose the height of tower PQ is h

angle of elevation of Q from S is [tex]35^{\circ}[/tex]

from the figure, we can write

[tex]\Rightarrow \tan 35^{\circ}=\dfrac{h}{18}\\\\\Rightarrow h=18\tan 35^{\circ}\\\Rightarrow h=12.60\ m[/tex]

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