1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
brilliants [131]
3 years ago
15

By law, a wheelchair service ramp may be inclined no more than . If the base of a ramp begins 15 feet from the base of a public

building, which equation could be used to determine the maximum height, h, of the ramp where it reaches the building's entrance
Mathematics
1 answer:
choli [55]3 years ago
4 0

Answer:

The equation that can be used to determine the maximum height is given as h = 15tan4.76°

Step-by-step explanation:

The question given is lacking an information. Here is the correct question.

"By law, a wheelchair service ramp may be inclined no more than 4.76 degrees. If the base of the ramp begins 15 feet from the base of a public building, which equation could be used to determine the maximum height, h, of the ramp where it reaches the building's entrance"

The whole set up will give us a right angled triangle with the base of the building serving as the adjacent side of the triangle and the height h serving as the opposite side since it is facing the angle 4.76°

The side of the wheelchair service ramp is the hypotenuse.

Given theta = 4.76°

And the base of the building = adjacent = 15feet

We can get the height of the building using the trigonometry identity SOH CAH TOA.

Using TOA

Tan(theta) = opposite/Adjacent

Tan 4.76° = h/15

h = 15tan4.76°

The equation that can be used to determine the maximum height is given as h = 15tan4.76°

You might be interested in
Quadrilateral FLAG has coordinates F(1,5), L(6,3), A(3,-1), and G(-2,1). Which
Anettt [7]

Answer:

  • B. Quadrilateral FLAG is a parallelogram because opposite sides are parallel.

Step-by-step explanation:

<em>Refer to attached.</em>

Plot the point and connect in order FLAG.

<u>We see </u>

  • FL ║ GA
  • GF ║ AL
  • FA and GL are not perpendicular

<u>All the above can be confirmed by calculating the slopes:</u>

  • m(FL) = (3 - 5)/(6 - 1) = -2/5
  • m(GA) = (1 + 1)/(-2-3) = -2/5
  • These are same.
  • m(GF) = (5 - 1)/(1 + 2) = 4/3
  • m(AL) = (3 + 1)/(6 - 3) = 4/3
  • These are same
  • m(FA) = (-1 - 5)/(3 - 1) = -3
  • m(GL) = (3 - 1)/(6 +2) = -1/4
  • These are negative but not reciprocal

The quadrilateral is a parallelogram.

Correct choice is B

3 0
3 years ago
Read 2 more answers
Match each set of vertices with the type of triangle they form.
Andrew [12]

Answer:  The calculations are done below.


Step-by-step explanation:

(i) Let the vertices be A(2,0), B(3,2) and C(5,1). Then,

AB=\sqrt{(2-3)^2+(0-2)^2}=\sqrt{5},\\\\BC=\sqrt{(3-5)^2+(2-1)^2}=\sqrt{5},\\\\CA=\sqrt{(5-2)^2+(1-0)^2}=\sqrt{10}.

Since, AB = BC and AB² + BC² = CA², so triangle ABC here will be an isosceles right-angled triangle.

(ii) Let the vertices be A(4,2), B(6,2) and C(5,3.73). Then,

AB=\sqrt{(4-6)^2+(2-2)^2}=\sqrt{4}=2,\\\\BC=\sqrt{(6-5)^2+(2-3.73)^2}=\sqrt{14.3729},\\\\CA=\sqrt{(5-4)^2+(3.73-2)^2}=\sqrt{14.3729}.

Since, BC = CA, so the triangle ABC will be an isosceles triangle.

(iii) Let the vertices be A(-5,2), B(-4,4) and C(-2,2). Then,

AB=\sqrt{(-5+4)^2+(2-4)^2}=\sqrt{5},\\\\BC=\sqrt{(-4+2)^2+(4-2)^2}=\sqrt{8},\\\\CA=\sqrt{(-2+5)^2+(2-2)^2}=\sqrt{9}.

Since, AB ≠ BC ≠ CA, so this will be an acute scalene triangle, because all the angles are acute.

(iv) Let the vertices be A(-3,1), B(-3,4) and C(-1,1). Then,

AB=\sqrt{(-3+3)^2+(1-4)^2}=\sqrt{9}=3,\\\\BC=\sqrt{(-3+1)^2+(4-1)^2}=\sqrt{13},\\\\CA=\sqrt{(-1+3)^2+(1-1)^2}=\sqrt 4.

Since AB² + CA² = BC², so this will be a right angled triangle.

(v) Let the vertices be A(-4,2), B(-2,4) and C(-1,4). Then,

AB=\sqrt{(-4+2)^2+(2-4)^2}=\sqrt{8},\\\\BC=\sqrt{(-2+1)^2+(4-4)^2}=\sqrt{1}=1,\\\\CA=\sqrt{(-1+4)^2+(4-2)^2}=\sqrt{13}.

Since AB ≠ BC ≠ CA, and so this will be an obtuse scalene triangle, because one angle that is opposite to CA will be obtuse.

Thus, the match is done.

4 0
3 years ago
Read 2 more answers
2. The Miller family made mathematical statements out of their ages as follows. Tom is four less than tw
Taya2010 [7]

Answer:the answer is B

Step-by-step explanation:

6 0
3 years ago
If y varies directly with x and y = 16 when x = 4, find x when y = 8.
VladimirAG [237]

Answer: X = 2

Step-by-step explanation:

Y & X

Y = KX

K = Y/X = 16/4 = 4

Y= 8

K =4

X=?

X = Y/K

X = 8/4 = 2

7 0
3 years ago
Read 2 more answers
2. Calculate the area of<br> the three figures.<br> Which figure has the<br> greatest area?
kumpel [21]

Answer:

can you send a clearer picture

8 0
1 year ago
Other questions:
  • What is 65/200 simplified
    9·2 answers
  • Write y = 4/5x 8 in standard form using integers
    6·1 answer
  • In a simplified model of a hydrogen atom, the electron moves around the proton nucleus in a circular orbit of radius 0.53 × 10−1
    15·1 answer
  • What is the sum of 1/10+8/100
    14·2 answers
  • Six students in Mrs. Lola’s class like strawberry pie; this represents 30% of the total class.
    8·1 answer
  • Round 8.21 to the nearest tenth
    10·2 answers
  • Circle the correct term that makes the sentence true. The (greatest, least) of common factors of two or more numbers is the (gre
    8·1 answer
  • Are these three side lengths a right triangle?<br> 5, 5, 5√s<br> yes or no?
    9·2 answers
  • A trap for insects is in the shape of a triangular prism. The area of the base is 45 in and the height of the
    6·1 answer
  • A tank full of water is leaking at a constant rate for 15 minutes. The equation
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!