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

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:

where

 : is the hypotenuse

 : is one triangle side

 : is the other triangle side

where the 90° angle is formed between and .

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:

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

for this pair of functions g(x)=x-2 and f(x)=|x| is (g o f)(a)= |a| -2

step-by-step explanation:

g(x)=x-2

f(x)=|x|

(g o f)(a)=?

(g o f)(x)=g(f(x))

(g o f)(x)=g(|x|)

(g o f)(x)=|x|-2

(g o f)(a)=|a|-2