Question

A 25-foot flag pole casts a shadow of 40 feet. What is the approximate height from the top of the flag pole to the top of the shadow? 45 47 65

Answer 1

Answer:

The height from the top of the flag pole to the top of the shadow = 47 feet.

Step-by-step explanation:

Given:

Height of the flag pole = 25 ft

Length of the shadow cast by the flag pole = 40 ft

To find the approximate height from the top of the flag pole to the top of the shadow.

Solution:

On drawing the flagpole and the shadow, we get a right triangle of which the legs are given.

$Leg 1 =25\ ft$

$Leg 2 = 40\ ft$

We need to find the hypotenuse of the right triangle.

Applying Pythagorean theorem.

$Hypotenuse^2=Leg1^2+Leg2^2$

$Hypotenuse^2=25^2+40^2$

$Hypotenuse^2=625+1600$

$Hypotenuse^2=2225$

Taking square root  both sides :

$\sqrt{Hypotenuse^2}=\sqrt{2225}$

$Hypotenuse=47.1\approx 47$

Thus, the height from the top of the flag pole to the top of the shadow = 47 feet.