A pole that is 2.8 m tall casts a shadow that is 1.21 m long. At the same time, a nearby tower casts a shadow that is 48.75 m lo

Question

3 years ago

7

ng. How tall is the tower? Round

1 answer:

DanielleElmas [232] · Answer 1 · 2022-04-22T10:24:56+03:00

Answer:

112.81 m.

Step-by-step explanation:

The pole and the tower and their shadows form 2 similar triangles so their corresponding sides are in the smae ratio.

Therefore we have the relation:

1.21 / 48.75 = 2.8 / x where x is the height of the tower.

Cross multiplying:

x = 2.8 * 48.75 / 1.21

= 112.81 m