Question

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

Answer 1

Answer:

Step-by-step explanation:

here is some helpful trig function reminders.. copy this and keep it

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

they ask how long is the ladder

they give us the opposite side (8) and the adjacent side (6)  

and the Hyp is the length of the ladder.   They expect you to sort this out in your head.  :/  

there is two steps .. we'll solve for the angle.. then we can use that to find the Hyp side..(long side of triangle)  which is the ladder length

Tan(Ф) = Opp / Adj

Tan(Ф) = 8 / 6

Ф = arcTan(8 / 6)

Ф ≈ 53.130°

now lets use that angle with one of the other trig functions to find the Hyp.. sin or cos will work b/c we have both the opp and the adj sides lengths.  let's use cos

Cos(53.130) = 6 / Hyp

Hyp = 6 / Cos(53.130)   ( I just used algebra to swap the two)

Hyp = 9.99997

the ladder will be 10' long.  

ask in the comments if you need any more explaining