Due to sun, a 6ft man casts a shadow of 4ft, whereas a pole next to the man casts a shadow of 36ft. What is the height of the pole?

63 ft

72 ft

54 ft

48 ft

Due to sun, a 6ft man casts a shadow of 4ft, whereas a pole next to the man casts a shadow of 36ft. What is the height of the pole? Correct Answer 54 ft

Both the man and pole are near each other and are illuminated by same sun from same direction.
Height and Distance mcq solution image

So angle of elevation for sun is same for both.
So ration of object to shadow will be same for all objects. (Proportionality Rule)
$$\frac{{{\text{Object}}\,{\text{height}}}}{{{\text{Shadow}}\,{\text{length}}}} = \frac{6}{4} = \frac{{\text{H}}}{{36}}$$
∴ H = 54 ft = Height of pole

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Feb 20, 2025

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Height and Distance

Due to sun, a 6ft man casts a shadow of 4ft, whereas a pole next to the man casts a shadow of 36ft. What is the height of the pole?

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