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m/courses/4296/quizzes/118866/takeThe Americans with Disabilities Act states that Triangle Aramps must have an angle less than or equalto 4.8 degrees. Remember, a 4.8 degree anglein a right triangle has a 1 : 12 ratio for thelegs. Select all ramps that meet the Americanswith Disabilities Act requirements.Triangle BTriangle c

Mcourses4296quizzes118866takeThe Americans With Disabilities Act States That Triangle Aramps Must Have An Angle Less Than Or Equalto 48 Degrees Remember A 48 De class=

Sagot :

Recall that we are given triangles of the form

We are told that an appropiate triangle must have the following property

[tex]\frac{a}{b}=\frac{1}{12}[/tex]

We will calculate that number for each triangle and check if it is or not appropiate

Triangle A

For this triangle we have a=1 and b=12, so we have

[tex]\frac{a}{b}=\frac{1}{12}[/tex]

so triangle A is appropiate.

Triangle B

For this triangle we have a=40 and b=30. So we have

[tex]\frac{40}{30}=\frac{4\cdot10}{3\cdot10}=\frac{4}{3}[/tex]

which is not equivalent to the fraction 1/12. Thus, triangle B is not appropiate.

Triangle C

For this triangle we have a=10 and b=120. So we have

[tex]\frac{a}{b}=\frac{10}{120}=\frac{1\cdot10}{12\cdot10}=\frac{1}{12}[/tex]

Thus triangle C is also appropiate.

Triangle D

For this triangle we have a=1 and b=15. So we have

[tex]\frac{a}{b}=\frac{1}{15}[/tex]

which is not equivalent to the fraction 1/12. Thus, triangle D is not appropiate.

Triangle E

We are given the value of a=2. However, we need to find the value of b. We are given the following triangle

For this triangle, using the pythagorean theorem we have

[tex]15^2=2^2+b^2=4+b^2[/tex]

So, by subtracting 4 on both sides we get

[tex]b^2=15^2\text{ -4}[/tex]

So, applying the square root, we have

[tex]b=\sqrt[]{15^2\text{ -4}}=\sqrt[]{221}=14.8660[/tex]

Thus, this means that

[tex]\frac{a}{b}=\frac{2}{14.8660}[/tex]

which is not equivalent to the fraction 1/12. Then triangle E is not appropiate.

View image AryaaT238439
View image AryaaT238439
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