Question

A vertical stick of 12cm long casts a shadow 8m long on the ground. At the same time a tower casts the shadow of length 40m on the ground. Determine the height of the tower.​

Answer 1

Answer:

⇒tanα= 812 = 34

⇒α Would be same for tower

⇒ 34 = 40h

⇒h= 3160 m.

Step-by-step explanation:

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Answer 2

Answer:

Height of the tower : $\rm\large\bold\orange{\frac{160}{3} m.}$

Given:

►Length of the stick : 12 cm.

►Shadow of the stick : 8 m.

►Tower casts the shadow of length 40m on the ground.

To Find :

Height of the tower (h)

Solution:

We are given,

►Length of the stick : 12 cm.

►Shadow of the stick : 8 m.

►Tower casts the shadow of length 40m on the ground.

Let the height of tower be h .

By referring the attachment,

We get,

$\tan( \alpha ) = \frac{length \: of \: stick}{shadow \: of \: the \: stick}$

$tan \alpha = \frac{12}{8}$

$\tan( \alpha ) = \frac{4}{3}$

the angle α will be same for the tower ,

$\frac{4}{3} = \frac{h}{40}$

$h = \frac{160}{3} \: m$

Hence , The height of the tower is $\rm\large\bold\orange{\frac{160}{3} m.}$