Question

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
A. 72.7 m
B. 14.4 m
C. 15.9 m
D. 71.2 m

Answer 1

C. 15.9 m

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 =
`(x)/(34)`,

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

Thus, the ratio of the height of pole =
`(36)/(77)`

At the same time,

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

`(x)/(34)=(36)/(77)`

`x=(34* 36)/(77)=(1224)/(77)=15.8961038961\approx 15.9`

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

Option 'C' is correct.