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
almond37 [142]
2 years ago
12

Can some show the steps and the answer please I really need help tell me how you get it and the answer

Mathematics
1 answer:
Lana71 [14]2 years ago
5 0

Answer:

Step-by-step explanation:

so this is about triangles..  sooo the following is a bit of helpful reminders that I keep on my computer to help me remember how to fit the trig functions to triangles..  I strongly suggest you copy it and keep it where you can look at it often.

Use SOH CAH TOA to recall how the trig functions fit on a triangle

SOH: Sin(Ф)= Opp / Hyp

CAH: Cos(Ф)= Adj / Hyp

TOA: Tan(Ф) = Opp / Adj

I use this anytime I run into triangles or need some help with sin or cos

now the problem , 3 ladder  10, 12, & 15 feet.   Alex wants to get to 8 feet.

the problems is also telling you that   you can use   t.....   and then , the words are cut off.. but I know they were going to say   Tan ... next.. :P

b/c Tan is how you figure out problems with the adjacent side and the opposite side.  like this problem.    Look at  TOA  above.  use that to recall how the parts fit in the formula

Tan(∅) = Opp / Adj

they give us the Opp side of 8 feet in the problem

then they also tell us the Hyp of the triangle which is each of the ladders length.  Then they ask us what is the Adj sides length?

So we also need to solve the triangle with the know hyp  (ladder length).. uggg, this problem is long. Then we can solve the dist. from the wall or Adj side length.

it's two steps, if you want to think of it that way.   You're supposed to be pretty confident with trig functions.   I'm guessing this is a trig class.. right?

let's solve for the 3 different angles that the ladders make , each going to 8 feel.  Obviously, nobody would really do this with a ladder they would just lean it against the wall . and if it's taller than where they want to climb, they would just go up part way.   so anyway,     find the 3 different angles.  

look above to see which formula to use.

I like SOH b/c it seems to have all the pieces of the triangle we want to work with.

ladder 1  ( 10')

Sin(∅) = Opp / Hyp

Sin(∅) = 8 / 10

∅ = arcSin (4/5)

[ first, yes, I just reduced the fraction, then I did the arcSin on both sides, I think you might know how to do that already ? ]

∅ = 53.13010 °

( yes, I used my calculator to find that,  calculators are okay to use when figuring out non standard angles )

ladder 2 (12')

Sin(∅) = 8/12

∅ = arcSin (2/3)

∅ = 41.81031°

ladder 3 (15')

Sin(∅) = 8/15

∅ = arcSin (8/15)

∅ = 32.230952°

now use our Tan function to find the Adjacent side which is the distance from the wall

Tan(∅)= Opp / Adj

Adj = Opp / Tan(∅)

( I did some quick algebra to move the side we want to solve for, now plug and chug all 3 angles  )

ladder 1

Adj = 8 / Tan(53.13010)

Adj = 6.0000005    

ladder 2

Adj = 8 / Tan(41.81031)

Adj = 8.94427

ladder 3

Adj = 8 / Tan(32.230952)

Adj = 12.688577

so the 10' ladder is 6 feet from the wall

the 12' ladder is 8.9 feet from the wall

the 15 foot ladder is 12.7 feet from the wall.

I really don't think that 15' ladder is going to stay on the wall.. if Alex climbs it... it's way way too far out... it will just fall straight down the wall  :/   Maybe another math problem for the forces involved  :P

You might be interested in
Pls help me this i due today
finlep [7]

Step-by-step explanation:

due to the rules of crossing lines and their angles, the 2 angles opposite of each other must be equal.

so,

7x + 7 = 112

7x = 105

x = 15

8 0
2 years ago
URGENT WORTH 20 POINTS
Triss [41]
If we were to draw a best fit line, the y-interest would be near 15, and the slope would be negative.

In the options given, the slope is either -3 or -13. If we imagine a line through the plotted points, the rise would be about 15 while the run would be about 5. This means the slope is about -3.

The best answer is y = -3x + 15





5 0
3 years ago
Explain how to determine whether a point is a solution to a linear inequality?
Orlov [11]

Answer:The solution of a linear inequality in two variables like Ax + By > C is an ordered pair (x, y) that produces a true statement when the values of x and y are substituted into the inequality.

Example

Is (1, 2) a solution to the inequality

2x+3y>1

2⋅1+3⋅2>?1

2+5>?1

7>1

The graph of an inequality in two variables is the set of points that represents all solutions to the inequality. A linear inequality divides the coordinate plane into two halves by a boundary line where one half represents the solutions of the inequality. The boundary line is dashed for > and < and solid for ≤ and ≥. The half-plane that is a solution to the inequality is usually shaded.

Step-by-step explanation:

5 0
3 years ago
Question 18(Multiple Choice Worth 1 points)
Y_Kistochka [10]

Answer:

B

Step-by-step explanation:

2^2 x 2^3 = 2^5

2^5/2^4 = 2^1

4 0
2 years ago
Two angles form a linear pair. The measure of one angle is 16∘ greater than the measure of the other angle. Find the measure of
Agata [3.3K]

A) Angle 1 + Angle 2 = 180

B) Angle 1 - Angle 2 = 16

Adding both equations:

2 * Angle 1 = 196

Angle 1 = 98

Angle 2 = 82


4 0
3 years ago
Other questions:
  • What is the equation, in point-slope form, for a line that goes through ​ (2, −6) ​ and has a slope of ​ −34 ? plz help
    14·2 answers
  • Algebra 2 Grade 11
    8·1 answer
  • Jason will use a 1/3 gallon pitcher to fill an empty 3/4 water jug. How much water is needed to completely fill the water jug?
    14·1 answer
  • Eduardo thinks of a number between 1 and 20 that has exactly 5 factors. What number is he thinking of?
    6·2 answers
  • A graph has a constant of proportionality of 2.54. Let y represent centimeters and x represent inches. What is the unit rate of
    10·1 answer
  • Trapezoid JKLM is shown below.
    15·1 answer
  • I need help please?!!!!
    6·1 answer
  • The point (4,-2) is the vertex of the graph of a quadratic function. The points (8,6) and (2,0) also fall on the graph of the fu
    14·1 answer
  • Solve for w. -34=-6+w/4
    12·2 answers
  • Find a linear and an exponential equation that matches f(2)=12 and f(4)=48
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!