Question

A pole of height 6m casts a shadow of 4m on the ground.At the same time,if a building casts a shadow of 28m find the height of building​

Answer 1

Answer:

42m

Step-by-step explanation:

Object : Shadow = 6m : 4m

Simplifying the ratio:

Object : Shadow =6÷2 : 4÷2

Object : Shadow =3 : 2

Given:

The shadow for the building is 28m

Multiplying the ratio by 14 so that the shadow is 28:

Object : Shadow =3x14 : 2x14

Object : Shadow =42m : 28m

Answer: The building is 42m

Answer 2

Question:-

1) A flag pole 4m tall casts a 6m shadow. At the same time, a nearby building casts a shadow of 24m. How tall is the building?

To find,

• Height of the building

Given as,

• Height of the pole = 6m
• Cast of shadow on the ground = 4m
• Building casts a shadow = 24m
• Height of building = ?

Solution:-

<A = <P

<B = <Q

<C = <R

✔ $\rm \triangle ABC = \triangle PQR$

✔ $\rm \frac{AB}{PQ}=\frac{BC}{QR} =\frac{AC}{PR}$

✔ $\rm \frac{4}{h}=\frac{6}{24}$

   ✔ $\bold\rm{\fbox{Height=16}$

Required answer:-

• 16