Final answer:
To find the distance from the top of the statue to Colton's head, we can use the Pythagorean theorem. The distance is equal to the square root of the sum of the square of the height of the statue and the square of the distance between Colton and the statue.
Step-by-step explanation:
To find the distance from the top of the statue to Colton's head, we need to add the height of the statue to the height of Colton. Since the statue is 5 meters taller than Colton, we can add 5 meters to Colton's height. So, the height of the statue is 5 + Colton's height.
Since Colton is standing 12 meters away from the statue, we can use the Pythagorean theorem to find the distance from the top of the statue to Colton's head. The Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
In this case, the hypotenuse is the distance from the top of the statue to Colton's head, the height of the statue is one of the sides, and the distance between Colton and the statue is the other side. We can use the formula c^2 = a^2 + b^2 to solve for c, where c is the hypotenuse, a is the height of the statue, and b is the distance between Colton and the statue.
Plugging in the values, we get c^2 = (5 + Colton's height)^2 + 12^2. Taking the square root of both sides, we get c = √[(5 + Colton's height)^2 + 12^2]. This is the distance from the top of the statue to Colton's head in meters.