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LenKa [72]
2 years ago
11

In order to meet ADA (Americans with Disabilities Act) requirements, a wheelchair ramp must have an angle of elevation of no mor

e than 4.8∘. A builder needs to install a ramp to reach a door that is 1.5 feet off the ground. What angle of elevation will this ramp have?
Is 25 feet long enough for the straight line distance of the ramp to meet the requirements? What angle of elevation will this ramp have?

Mathematics
2 answers:
r-ruslan [8.4K]2 years ago
6 0

Check the picture below.

make sure your calculator is in Degree mode.

does it meet the requirements?  well, 3.43 < 4.8.

lukranit [14]2 years ago
6 0

Answer:

a. The angle of elevation should be less than 4.8 ° since that is the maximum standard.

b. The angle of elevation is 3.4°.  25 ft is long enough for the straight line distance of the ramp to meet the requirement .  

Step-by-step explanation:

The standard required angle of elevation must have an angle of elevation not more than 4.8°.

A builder needs to install the ramp to reach a door that is 1.5 ft off the ground . The angle of elevation can be calculated as follows :

The illustration forms a right angle triangle .

opposite side = 1.5 ft

adjacent side = a

The angle of elevation should be less than 4.8 ° since that is the maximum standard.

Is 25 feet long enough for the straight line distance of the ramp to meet the requirements? What angle of elevation will this ramp have?

opposite side = 1.5 ft

adjacent side = 25 ft

∅ = angle of elevation

Using SOHCAHTOA principle

tan ∅ = 1.5/25

∅ =  arctan 0.06

∅ = 3.433630362

The angle of elevation is 3.4°.  

25 ft is long enough for the straight line distance of the ramp to meet the requirement .  

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astra-53 [7]

Answer:

1) 2/7

2) 8/11

3) 3/2 or 1 1/2

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Step-by-step explanation:

1.5/7•14/35

= 5/7 × 14/35

Using Cancellation method

= 1/1 × 2/7

= 2/7

2.[4/5][10/11]

= 4/5 × 10/11

Using Cancellation method

= 4/1 × 2/11

= 8/11

3.8 3/4 multiplied by 2/9

= 8 3/4 × 2/9

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4. [4/5]10/11][7/8]

40/50 ÷ 77/88

= 40/50 × 88/77

= 40/50 × 8/7

= 40/25 × 4/7

= 8/5 × 4/7

= 32/35

4 0
2 years ago
Sienna is solving the quadratic equation by completing the square. 3x2 + 9x – 4 = 0 3x2 + 9x = 4 A(x2 + 3x) = 4 What is the valu
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Answer:

I am going to show you the first steps to complete squares for the given equation: 1) Starting equation: 3x^2 + 9x -4 = 0 2) Add 4 to both sides => 3x^2 + 9x - 4 + 4 = 4 => 3x^2 + 9x = 4 3) Extract common factor 3 in the left side => 3 (x^2 + 3x). Now, compare with a(x^2 + 3x) and you get a = 3. Answer: a = 3.

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2 years ago
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Equivalent expression for 12+18n+7-14n
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In a family there are five sons. The oldest son is 11 3/4 years old, and every next younger brother is younger than the next by
timama [110]

Answer:

the youngest brother is of 2 years and 5 months

if this rule still applies, the next son will be born in 2 months.

Step-by-step explanation:

Given that:

Oldest son= 11 3/4 years old = 11 years 3/4 (12) months = 11 years 9 months

Difference = 2 years 7/12(12) months = 2 years 7 moths

So for finding the age of youngest brother:

Subtract the difference others from age of oldest:

= 11 years 9 months - 4(2 years 7 months)

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2 years ago
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2 years ago
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