Question

4. Indirect measurement - You can use proportions to solve indirect measurement problems too. A
basketball pole is 10 feet high and cast a 12 foot shadow. A player standing nearby is 5 feet tall. How
long is the player's shadow?

Answer 1

Answer:

The length of shadow of the player is 6 feet.

Step-by-step explanation:

Given that a basketball pole casts a 12-foot shadow whereas its original height is 10 feet.

We have to measure the length of the shadow of a player standing nearby who is 5 feet tall.

Now, the ratio of the length of the shadow and the original length will maintain a constant proportion at a certain place as the angle of elevation of the position of the sun is constant.

Therefore, we can write  

$\frac{x}{5} = \frac{12}{10}$

⇒ x = 6 feet.  

Therefore, the length of the shadow of the player is 6 feet. (Answer)