Question

A 15m high tower casts a shadow of 17m. What is the shortest distance between the tip of

the tower and the tip of its shadow?​

Answer 1

Answer:

10 meter

Step-by-step explanation:

From the question it is given that,

Height of a tower PQ=15m

It’s shadow QR=24 m

Let us assume the height of a telephone pole MN=x

It’s shadow NO=16m

Given, at the same time,

△PQR∼△MNO

Therefore, PQ/MN=ON/RQ

15/x=24/16

By cross multiplication we get,

x=(15×16)/24

x=240/24

x=10

Therefore, height of pole =10m.

solution

Answer 2

Answer:

Step-by-step explanation:

10 meter

Step-by-step explanation:

From the question it is given that,

Height of a tower PQ=15m

It’s shadow QR=24 m

Let us assume the height of a telephone pole MN=x

It’s shadow NO=16m

Given, at the same time,

△PQR∼△MNO

Therefore, PQ/MN=ON/RQ

15/x=24/16

By cross multiplication we get,

x=(15×16)/24

x=240/24

x=10

Therefore, height of pole =10m.

solution