The angle of elevation of the top of a tower from a point 15 meters away from the
base is 30.Find the height of the tower. Explain
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Given - Angle of elevation - 30°
Distance from tower - 15 metres.
Find - Height of the tower.
Solution - The tower and the line joining angle of elevation at 15 metre distance will form a right angled triangle.
Let the height of tower be AB, Distance from tower BC and hence, the line joining the angle to the top of tower will be AC. Angle C is 30°.
Therefore, tan 30° = perpendicular/base
tan 30° = AB/15
AB = 15/✓3
AB = 15/1.732
AB = 8.6 metre.
Hence, the height of tower is 8.6 metre.
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