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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:

 

(iii) (b) In the figure, if DF + FE = 25 m and DE = 5 m, then what is the value of FE
1 11 m  
2 10 m  
3 12 m  
4 14 m  

Ans.

(3)

Let FE = x mThen DF = (25 − x) m and DE = 5 mUsing Pythagoras theorem:DF2=FE2+DE2⇒(25-x)2=x2+52625+x2-50x=x2+25600=50x⇒x=12Thus, the value of FE is 12 m