Question

A ramp of 13 feet in length is constructed in front of a house that is at a height of
5 feet from the ground. What is the horizontal distance between the front door
and the point where the ramp touches the ground?​

Answer 1

Answer:

thanks for free points.....

Answer 2

The answer is 12 cm

GIVEN

A ramp of 13 feet in length is constructed in front of a house that is at a height of 5 feet from the ground.

TO FIND

The horizontal distance between the front door and the point where the ramp touches the ground.

SOLUTION

We can simply solve the above problem as follows;

The ramp, Distance from the ground, and the horizontal distance between the front door and the ground forms a right angled triangle.

Let the length of the Ramp = AB = 13 feet.

Height from the ground = BC = 5 feet

Let the horizontal distance between the front door and point = CA

Applying Pythagorus theorem in ∆ABC

AB² = BC² + AC²

13² = 5² + AC²

169 = 25 + AC²

AC² = 169-25

= 144

AC = ✓144 = 12 cm

Hence, The answer is 12 cm

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