Question

A monument in the shape of a right triangle sits on a rectangular pedestal that is 5 meters high by 11 meters long. The longest side of the triangular monument measures 61 meters. How high off the ground is the top of the monument?

Answer 1

The height of the monument is 9.80 m

Step-by-step explanation:

To find the height of the monument, we can use the Pythagorean theorem. The rectangle on the pedestal forms a right triangle with the longest side of the monument being the hypotenuse. Let's call the height of the monument 'h'. Using the Pythagorean theorem, we have:

`h^2 = (11^2) - (5^2)`

`h^2 = 121 - 25`

`h^2 = 96`

`h = \sqrt{96`

h ≈ 9.80 meters

Answer 2

65 meters off the ground.

Step-by-step explanation: