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
butalik [34]
3 years ago
10

As you are walking down a path, you see a sign telling the path has a 2% grade (ie., a rise of 2 metres for a horizontal change

of 100m). Which of the following expressions will calculate the angle between the path and horizontal?

Mathematics
1 answer:
Leni [432]3 years ago
5 0

Answer:

Option (A)

Step-by-step explanation:

It has been given in this question that sign telling path has a 2% grade.

2% grade means a rise of 2 meters for a horizontal change of 100 m (As given in the figure attached).

All the trigonometric ratios for the angle θ between the path and the horizontal are,

Sinθ = \frac{\text{Opposite side}}{\text{Hypotenuse}}

Cosθ = \frac{\text{Adjacent side}}{\text{Hypotenuse}}

tanθ = \frac{\text{Opposite side}}{\text{Adjacent side}}

Since measures of the opposite side and adjacent sides are given

Therefore, tangent ratio will be applied to get the measure of the angle,

tanθ = \frac{2}{100}

θ = \text{tan}^{-1}(\frac{2}{100})

Option (A) will be the answer.

You might be interested in
I will mark brainliest !
harina [27]

Answer:

90 degrees

Step-by-step explanation:

A circle circumscribed over a right triangle is the same as a circle circumscribed over a rectangle built from the extension of the right triangle.

That tells us that the hypotenuse is the diameter of the circle in that case.

Here, we can see a triangle that has the hypotenuse as the diameter of the circumscribed circle. We can infer that the triangle is a right triangle.

4 0
3 years ago
Mark’s brother is five years older than Mark. Their combined ages add up to 23. How old is Mark? Write an equation to help you s
Tema [17]
Should be this .. hoped this helped:)

7 0
3 years ago
WILL MARK BRAINLIEST!!!
hoa [83]

9514 1404 393

Answer:

  • a = 17
  • ∠ABC = 78°

Step-by-step explanation:

The marked angles form a linear pair, so have a sum of 180°.

  (4a +10) +(6a) = 180

  10a = 170 . . . . . . . . . . subtract 10

  a = 17 . . . . . . . . . . . . . divide by 10

__

Then the measure of angle ABC is ...

  ∠ABC = 4a +10 = 4(17) +10 = 68 +10 . . . . . substitute 17 for 'a'

  ∠ABC = 78°

5 0
3 years ago
Solve the following system of equations.
Ronch [10]
The answer is A. I plugged it into a TI-83 calculator. If you need to know how I did that I will be happy to help
6 0
3 years ago
Read 2 more answers
Please help me please help me if you don't know gently move your hand
andrew11 [14]

Answer:

R = 7cm

D = 14cm

CF = C = dπ or C = 2rπ

CV = C = 14π or 2( 7π )

4 0
3 years ago
Other questions:
  • According to the graph below, what percent of the Simpsons annual expenses is state taxes?
    12·2 answers
  • Find the value of k if it is known that the graph of y=kx goes through:
    7·1 answer
  • -8x2 + 54x + 140 factorized form?
    6·2 answers
  • What is the value of x?<br> ANSWER ASAP!!
    15·1 answer
  • Pleas answer this question now
    13·1 answer
  • How do i simplify -9x^3+8x^2-(7x/6)-(-7)
    9·1 answer
  • Which of the following represents the graph of the equation y = 1/2x?
    11·1 answer
  • Help please! <br>write in terms of i​
    10·2 answers
  • Anyone know how to do this...
    5·1 answer
  • Lindsey needs a jeweler to repair her earrings. Jeweler A is offering her services for an initial $130 in
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!