All categories

3 years ago

A wheelchair ramp is 4.2 m long. It rises 0.7 m. What is it's angle of inclination to the nearest degree?

Mathematics

1 answer:

Irina18 [472]3 years ago

4 0

The inclination angle is 10°

Step-by-step explanation:

The given scenario forms a right angled triangle where the length of ramp is hypotenuse and the rise of ramp is the perpendicular

Given

H = 4.2m

P = 0.7m

We have to use the trigonometric ratios to find the angle. The ratio that has to be used should involve both perpendicular and hypotenuse

Let x be the angle

then

$sin\ x = \frac{P}{H}\\sin\ x = \frac{0.7}{4.2}\\sin\ x = 0.1666\\x = sin^{-1} (1.666)\\x = 9.59 => 10$

Hence,

The inclination angle is 10°

Keywords: Trigonometric ratios, Right angled triangle

Learn more about ratios at:

#LearnwithBrainly

You might be interested in

Can you answer #1 and #3 please (find the slope) ASAP

daser333 [38]

To calculate the slope of a line, you only need two points from that line, (x1, y1) and (x2, y2).

The equation used to calculate the slope from two points is:

(y2 - y1) / (x2 - x1)

#1:

First point : (5 ,7) = (x1, y1)

Second point : (2, -2) = (x2, y2)

Equation : (-2 - 7) / (2 - 5)

Solve the equation:

(-2 - 7) = -9

(2 - 5) = -3

-9/-3 = 3 (a negative number divided by a negative number gives you a positive number)

The slope of the line in #1 is : 3

#3:

First point : (5, 9) = (x1, y1)

Second point : (5, -2) = (x2, y2)

Equation : (-2 - 9) / (5 - 5)

Solve the equation:

In this case, you don't need to solve anything, because anything divided by zero will give you 0 (5 minus 5 = 0).

The slope of the line in #3 is : 0

8 0

2 years ago

Read 2 more answers

In the past ten years, the population of a city decreased from 90,000 to 75,000 Find the percent decrease.

vfiekz [6]

The answer is 31.5%.

8 0

2 years ago

3 1/2 • 4 3/4 please help

Dmitry [639]

Answer: 16 5/8

Step-by-step explanation:

3 1/2 = 7/2

4 3/4 = 19/4

7/2 * 19/4 = 133/8 or 16 5/8

3 0

3 years ago

Read 2 more answers

Evaluate: 3y + 1 = 13 + 4y<br> **What do you move first?!**

yan [13]

Answer: isolate the variable

Step-by-step explanation:

5 0

2 years ago

If L=√(x^2+y^2), dx/dt =-4, dy/dt=3, find dL/dt when x=4 and y=3

yulyashka [42]

Hello,

$L=\sqrt{x^2+y^2} \\\\\dfrac{dx}{dt}=-4\\\\\dfrac{dy}{dt}=3\\\\x=4, y=3\\\\\dfrac{\partial L} {\partial x} =\dfrac{x}{\sqrt{x^2+y^2}} \\\\\dfrac{\partial L} {\partial y} =\dfrac{y}{\sqrt{x^2+y^2}} \\\\\dfrac{dL}{dt} =\dfrac{\partial L} {\partial x}*\dfrac{dx}{dt}+\dfrac{\partial L} {\partial y}*\dfrac{dy}{dt}\\\\=-4*\frac{-4}{\sqrt{4^2+3^2}} +3*\frac{3}{\sqrt{4^2+3^2}}\\\\=\dfrac{16}{5} +\dfrac{9}{5} \\\\=5\\$

5 0

2 years ago