Question

If a 30-foot silo casts a 20-foot shadow, what is the approximate measure from the tip of the shadow to the top of the silo? 1,300 feet 36 feet 650 feet 13 feet

Answer 1

Answer:

36 ft

Step-by-step explanation:

The second answer

I hope this helps! :)

Answer 2

Answer:

Second Option: 36 feet

Step-by-step explanation:

Based on the given information we can conclude that this is a simple Trigonometry case based on a Right-Triangle and Pythagoreann Theorem.

Right triangles refer to the triangles whose one angle is always 90° and the side opposite the right angle is called the Hypotenuse. Now, Pythagorean theorem states that the summation of the two squared sides of a right triangle gives the hypotenuse squared, and is expressed as:

$h^2=a^2+b^2$

where

$h$  : is the hypotenuse

$a$  : is one triangle side

$b$  : is the other triangle side

where the 90° angle is formed between $a$ and $b$ .

Now, from the given information we can see that the right angle is formed between the perpendicular to the ground 30-foot silo and the parallel to the ground 20-foot shadow. So let us plug in the values and solve for the hypotenuse which is the measure between the tip of the shadow to the top of the silo:

$h^2=30^2+20^2\\h=\sqrt{30^2+20^2}\\h=\sqrt{900+400}\\ h=\sqrt{1300}\\ h=36.055\\h=36.1ft$

So we can see that it is closest to the Second Option of 36 feet.