Answer:
height = 63 m
Explanation:
The shape of the monument is a triangle. The triangle is a right angle triangle. The triangular monument is sitting on a rectangular pedestal that is 7 m high and 16 m long. The longest side of the triangular monument is 65 m . The longest side of a right angle triangle is usually the hypotenuse. The adjacent side of the triangle which is the base of the triangle sitting on the rectangular pedestal is 16 m long.
Since the triangle formed is a right angle triangle, the height of the triangular monument can be gotten using Pythagoras's theorem.
c² = a² + b²
where
c is the hypotenuse side while side a and b is the other sides of the right angle triangle.
65² - 16² = height²
height² = 4225 - 256
height² = 3969
square root both sides
height = √3969
height = 63 m