Question

A ladder leaning against a wall makes an angle of 75° with the ground. If the foot of the ladder is 6 feet from the base of the wall, what is the length of the ladder?

Answer 1

Firstly, do you know your soh cah toa

Answer 2

No

Answer 3

I'm really bad at math

Answer 4

Sin(x) = opposite/hypotenuse
Cos(x) = adjacent/hypotenuse
Tan(x) = opposite/adjacent

and btw, let's first draw the triangle out

Answer 5

Also,

Answer 6

a as in adjacent
o as in opposite
h as in hypotenuse

Answer 7

So, in the previous drawing, we have the adjacent side and we need the hypotenuse, which of the 3 trigonometric ratios should we use?

Answer 8

Tan(x)

Answer 9

tan(x) is opposite/adjacent

In this, we need adjacent and hypotenuse

Answer 10

Oh, then we'd do Sin(x)

Answer 11

sin(x) is opposite/hypotenuse...

Sin(x) = opposite/hypotenuse
Cos(x) = adjacent/hypotenuse
Tan(x) = opposite/adjacent

Answer 12

We would do
cos(x)

So, putting in x and the adjacent side, we get
cos(75) = 6/x
cos(75)(x) = 6
x=6/(cos75)
I suggest putting
^^^^^
in a calculator, and remember to do it in degree mode

Answer 13

Okay, thank you

Answer 14

Yw~
Do you want to check the result with me tho at the end?

Answer 15

How did I get 23 feet?

Answer 16

It's correct:)
Rounded to the nearest feet, it's 23 feet

Answer 17

HEEY!

Answer 18

Thank you very much

Answer 19

Ywww~:)