A tower standing on a horizontal plane subtends a certain angle at a point 80 m apart from the foot of the tower. On advancing 50 m towards it, the tower is found to subtend an angle twice as before. Find the height of the tower?
1). 30 m
2). 40 m
3). 60 m
4). 50 m
3. A line passing through the origin perpendicularly cuts the line 2x + 3y = 6 at point M. Find M?
5. If $\sqrt{3}tan\theta$ = $3 sin\theta$, then the value of $( sin^{2}\theta - cos^{2}\theta)$ is
9. If tan(α – β) = sin2β/ (3 – cos2β), then find the value of tanα.cotβ
10. A train 240 meters in length crosses a telegraph post in 16 seconds. The speed of the train is?