Question

A builder makes all of their ramps with a base to height ratio of 12:112:112, colon, 1 to be wheelchair-accessible. See the diagram below, which is not drawn to scale:

A certain ramp needs to cover a height of 0.80.80, point, 8 meters.

What is the length \ellℓell of this ramp?
Round your answer to the nearest hundredth of a meter.

Answer 1

Answer:

The answer is 9.63

I got this answer from khan academy.

Answer 2

The length of the L of the ramp, which the builder makes with a base to height ratio of 12 to 1 is 9.63 meter.

Pythagoras theorem states that, right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

A builder makes all the ramps with a base to height ratio of 12 to 1 to be wheelchair accessible.

Let p is the factor of ratio. Thus, the height and base is,

h = p

b = 12p

According to Pythagoras theorem,

unknown side (say l) is hypotenuse

l² = (12p)² + p²

$l^2=144p+p^2$

$l = \sqrt{144p+p^2}$

$l = \sqrt{145} p$

A ramp needs to cover a height of 0.8 m. Height is equal to the factor p.

Thus, the value of p is,

p = h

p = 0.80

Thus, the length of the l is,

$l = \sqrt{145} p$

$l = \sqrt{145} {(0.8)}$

$l=(12.041)(0.8)$

$l=9.63m$

Hence, the length of the L of the ramp, which the builder makes with a base to height ratio of 12 to 1 is 9.63 meter.

Learn more about right triangle here :

brainly.com/question/6322314

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