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The bottom of a ladder is resting 5 feet from the wall. The wall and the ground form a right angle. If the ladder is 10 feet long, how far up the wall does it reach

Respuesta :

Answer:

Step-by-step explanation:

The ladder forms a right angled triangle with the rock so we can make use of the pythagoras theorem.

Where;

Hypotenuse = length of the ladder = 10ft

Adjacent= horizontal distance on the ground= 5ft

Hence;

H^2 = O^2 + A^2

10^2= O^2 + 5^2

100= O^2 + 25

O^2 = 100 - 25

O = _/75 = 8.660

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