Question

five feet long staff casts a shadow two feet long. What is the height of a steeple whose shadow at the same hour is 120 feet long?

Answer 1

Answer:

Step-by-step explanation:

Tan ACB = AB / BC

                 = 5 / 2

Now,  Tan ACB = Tan PRQ

Tan PRQ = PQ / QR

or, 5 / 2 = PQ / 120 ft

PQ =  300 ft

Answer 2

The height of a steeple is 300 feet.

Step-by-step explanation:

Since we have given that

Length of staff = 5 feet

Length of shadow = 2 feet

If the length of shadow of steeple  = 120 feet

Then we need to find the length of steeple.

According to question, we get that

$\dfrac{5}{2}=\dfrac{x}{120}\\\\x=60\times 5\\\\x=300$

Hence, the height of a steeple is 300 feet.

# learn more:

A vertical pole 6 feet high casts a shadow 4 feet long. At the same time a tree casts a shadow 64 feet long. what is the hight, in feet, of the tree?

https://brainly.in/question/1665072