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From a boat 300 metres away from a vertical cliff, the angles of elevation of the top and the foot of a vertical concrete pillar at the edge of the cliff are 55∘40′ and 54∘20′ respectively. Find the height of the pillar correct to the nearest meter.

From a boat 300 metres away from a vertical cliff, the angles of elevation of the top and the foot of a vertical concrete pillar at the edge of the cliff are 55∘40′ and 54∘20′ respectively. Find the height of the pillar correct to the nearest meter.

Grade:12th pass

2 Answers

Pawan Prajapati
askIITians Faculty 60787 Points
2 years ago
Our expert is working on this Class X Maths answer. We will update the answer very soon.
C-14-Litisha Ranka
26 Points
2 years ago
Let the height of the cliff be h metres
 and the height of the pillar is x metres.
 
Then, in △BDC,
tan54 
∘
 20 
′
 = 
BC
BD
​
 
 
⇒tan54 
∘
 20 
′
 = 
300
h
​
 
 
⇒1.37= 
300
h
​
 
 
⇒h=411 m
 
 
 
Now in △ABC,
 
tan55 
0
 40 
′
 = 
300
x+h
​
 
 
⇒1.42= 
300
x+411
​
 
 
⇒426=x+411
 
⇒x=15
 
Height of pillar =15 m

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