19. A silver statue of Pooja is leaning against a wall. The top of her head touches the wall at 40 feet. If the base of the statue is 9 feet away from the wall, how tall is Pooja's statue, in feet?

Respuesta :

Answer:A silver statue of Pooja is leaning against a wall. The top of her head touches the wall at 40 feet. If the base of the statue is 9 feet away from the wall, how tall is Pooja's statue, in feet?

Step-by-step explanation: ...

Answer:the height of Pooja's statue is 40.45 feet.

Step-by-step explanation:

The right angle triangle ABC formed by the silver statue of Pooja and the wall is shown in the attached photo.

To determine the height of Pooja's statue, we will apply Pythagoras theorem which is expressed as

Hypotenuse^2 = opposite side ^2 + adjacent side^2

From the triangle,

Opposite = 40 feet

Adjacent = 9:feet

Hypotenuse = height of Pooja's statue. Therefore,

Hypotenuse^2 = 40^2 + 9^2 = 1600 + 36 = 1636

Hypotenuse = √1636 = 40.45 feet