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]
3 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]3 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
PLEASE ANSWER<br><br> Answer Choices:<br> 1# 28.26<br> 2# 15.7<br> 3# 12.56<br> 4# 14.13
Setler [38]

Answer: 2

Step-by-step explanation: because it timed the seconde one so that is why its 2

hope the answer helped :)

7 0
3 years ago
Read 2 more answers
Find f (-2) if f (x)=4x+1
telo118 [61]

Answer:

f(-2)=4(-2)+1= 7

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Determine whether the triangle is a right triangle. Explain your reasoning. If it is not a right triangle, determine whether it
Alinara [238K]

Answer:

If it's Jose, Brad, and Ed it's an acute triangle, it has no 90 degree angle, if it's Jose, James, and Malcolm it is a right triangle because the line to Jose and Malcolm is straight I think not sure how to explain

Step-by-step explanation:

5 0
3 years ago
2x + y + z when x= -2 and y=3 z=5
ruslelena [56]

Answer:4

Step-by-step explanation:2x+y+z=2(-2)+3+5=(-4)+3+5=(-1)+5=4

6 0
3 years ago
Read 2 more answers
What is the distance between the two number s on the number line? -7/4 And 3/8
Ivanshal [37]

Answer:

2 1/8

Step-by-step explanation:

-7/4 is equal to -14/8

14/8 plus 3/8 is 17/8

17/8 = 2 1/8

5 0
3 years ago
Read 2 more answers
Other questions:
  • Bob the Wizard makes magical brooms. He charges 125 gold pieces for each magical broom he makes for his customers. He also charg
    14·2 answers
  • What is the thirtieth term in the sequence 11, 17, 23, 29, 35…?
    14·2 answers
  • Find the unit rate
    13·1 answer
  • a bookstore ownwr wants to know which department to expand. manager A surveys every 3rd teenager that comes in the store. manage
    14·1 answer
  • What is 20% as a decimal
    15·2 answers
  • Kylie explained that (–4x + 9)2 will result in a difference of squares because (–4x + 9)2 = (–4x)2 + (9)2 = 16x2 + 81. Which sta
    12·2 answers
  • Can someone help me understant this proof?​
    14·2 answers
  • Since the cost of cheese went up, the cost of small pizza went from $5.45 to $6.50. calculate the percent increase.
    9·2 answers
  • You spend 10 minutes playing video games. You then spend 1 hour doing homework. Write the ratio of the amount of time spent play
    14·2 answers
  • What conclusions can you draw about the two track teams from the data shown?
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!