+302 Applications to Trignometry
1.The angle of elevation of the top of a tower from certain point is 30°. If the observer moves 20 m towards the tower, the angle of elevation of the top increases by 15°. Find the height of the tower.
2. The tops of two towers of height x and y standing on level ground,subtend angles of 30° and 60° respectively at the centre of the line joining their feet then find x:y.
3. From a point P on the ground the angle of elevation of the top of a tower is 30°and tht of the top of a flagstaff fixed on top of the tower is 60°. If the lenght of the flagstaff is 5m, find the height of tower.
+26397 Applications to Trignometry
1.The angle of elevation of the top of a tower from certain point is 30°. If the observer moves 20 m towards the tower, the angle of elevation of the top increases by 15°. Find the height of the tower.
Let x the height of the tower
Let y the distance to the tower, if the observer moves 20m towards the tower.
tan(45∘)=xy=1|tan(45∘)=1y=xtan(30∘)=x20+y=1√3|tan(30∘)=1√3x20+y=1√3|y=xx20+x=1√3…x=20√3−1x=27.32 m
