Answered

A telephone pole casts a shadow that is 34 m long. Find the height of the telephone pole if a statue that is 36 cm tall casts a shadow 77 cm long.

telephone pole

A72.7 m
B14.4 m
C15.9 m
D71.2 m

Verified Answer :

Answer:

C. 15.9 m

Step-by-step explanation:

Let x be the height of the telephone pole,

Since, the length of the shadow of pole is 34 m,

So, the ratio of the height of the pole and its shadow = \(\frac{x}{34}\),

Also, the statue is of 36 cm tall casts a shadow 77 cm long,

Thus, the ratio of the height of pole = \(\frac{36}{77}\)

At the same time,

The ratio of height with shadow is same for all objects.

\(\frac{x}{34}=\frac{36}{77}\)

\(x=\frac{34\times 36}{77}=\frac{1224}{77}=15.8961038961\approx 15.9\)

Hence, the height of the telephone pole is 15.9 m.

Option 'C' is correct.

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