Question

A 50m tall building casts a shadow of length 75m. Find the length of shadow of a building which is 35m high.​

Answer 1

Answer:

shadow of the building is 52.5m

#HS GAMING AND TECH

Answer 2

Answer:

The length of the shadow casted by the building of 35m height is 52.50m

Step-by-step explanation:

Let the figure be diagrammatically be represented as the image attached.

Let the shadow casted by 35m building be 'x' m

We know that tan $\theta$ = $\frac{Perpendicular}{Base}$

=> In Δ ABC,

tan ∠ACB = $\frac{50}{75}$                            --(i)

and In Δ DBE,

=> tan ∠DEB =  $\frac{35}{x}$                            --(ii)

We also know that ∠ACB = ∠DEB        (corresponding angles)

Therefore, from equation (i) and (ii),

=>  $\frac{50}{75}$  =  $\frac{35}{x}$

=> x = $\frac{35*75}{50}$

=> x = 52.50

Therefore, the length of the shadow casted by the building of 35m height is 52.50m