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Q.

If a pole 12 m high casts a shadow 43 m long on the ground, then what is the angle of elevation?


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a

30∘

b

45∘

c

60∘

d

90∘  

answer is C.

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Detailed Solution

It is given that a pole 12 m high casts a shadow 43 m long on the ground.
Question ImageHere, height of pole = 12 m.
Length of shadow = 43 m.
Now, angle of elevation,
tanθ=perpendicularbase ⇒ tanθ=1243=33=3 ⇒ tanθ=tan60o
Hence, θ=60o.
Hence, the correct option is 3.
 
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