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Solution


Q.

The government plans to build ramp-like walls as boundary protection around a sensitive area. These walls are being constructed to reinforce the region’s boundary. The government has specified that the walls should have a height of 6 m above ground level with an inclination of approximately 30 degree.

Based on the given information, answer the questions given below:

 

(ii) If angle is increased to 60°, then what should be the value of DE to keep the distance between E and F same as before
1 14 m  
2 18 m  
3 16 m  
4 11 m  

Ans.

(2)

Let D′ be the new position of D when ∠EFD = 60°.In △DEF, we havetan30°=EDEF⇒13=6EF∵ED=6 m⇒EF=63 mIn △D′EF, we havetan60°=D'EEF⇒3=D'E63⇒D'E=63×3=18 m

This should be the new height of the wall to keep the distance EF same as before and to increase the angle to 60°.