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Solution


Q.

The length of the shadow of a tower on the plane ground is 3 times the height of the tower. The angle of elevation of the Sun is:
1 30°  
2 45°  
3 60°  
4 90°  

Ans.

(1)

Important points to understand in this question:

  • When Sun is behind the tower, AB, AC (on the ground) is the shadow of the tower.
  • The angle of elevation suggests that the point of observation is “upwards”.

Let h unit be the height of the tower, therefore 3h is the length of the shadow of the tower and θ be angle of elevation of the Sun.

In∆BACtanθ=ABAC=h3h⇒tanθ=13=tan30°⇒θ=30°⇒Angle of elevation of the Sun is 30°