Question

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.

Answer 1

Answer:
`12.6\ m`

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
`35^(\circ)`

from the figure, we can write

`\Rightarrow \tan 35^(\circ)=(h)/(18)\\\\\Rightarrow h=18\tan 35^(\circ)\\\Rightarrow h=12.60\ m`