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deepak

· started a discussion

· 1 Months ago

HEIGHT OF P (Question:1096095.0)

HEIGHT OF P HERE IS CALCULATED WRONG HERE

Question:

From the top of a pillar of height 30 meters, the angles of elevation and depression of the top and bottom of another pillar are 30°and 60° respectively. Find the height of the second pillar.

Options:
A)

30(3 +1) m

B)

40 m

C)

303 - 1) m

D)

423  m

Solution:

Ans: (b)


Let AE and BD be two pillars in which AE = 30 m 

Let EC be the perpendicular to DB. Then, angle DEC = 30° and angle CEB = angle ABE = 60° 

AE = BC = 30 m 

Let DC = p 

In triangle BAE 

Then, AE/AB = tan60° = √3 

AB = AE/√3 = 30/√3 

Therefore AB = EC = 30/√3 

In triangle ECD 

Now, DC/EC = tan30° = 1/√3 

p = EC/√3 = (30/√3)/√3 = 10 m 

Height of the pillar = BD = 30 + 10 = 40 m

Knowledge Expert

· commented

· 1 Months ago

Dear student
Correction has been made.

Regards
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