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- anonymous

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- anonymous

I have an opposite leg of a right triangle that is 40mm long, I have an adjacent leg of 165mm what is the measure of angle a which is the angle in between the hypotenuse and the adjacent leg

- anonymous

what is the sine, cosine, and tangent ratios for ∠ A.

- anonymous

i wont give u the answer
but i will help you

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- anonymous

ok that is what I wanted

- anonymous

first of all we need to use cosine since were dealing with adjacent/hypotenuse

- anonymous

what we first want to do tho is use tangent to find the length of the hypotenuse

- anonymous

actually for the hypotenuse we could do a^2=b^2=c^2

- anonymous

the length is about 170

- anonymous

But he need to find the angle

- anonymous

not the hypotenuse

- anonymous

begzat

- anonymous

to find the angle you need to find the hypotenuse

- anonymous

no

- anonymous

yep

- anonymous

169.78 is the length of the hypotenuse

- anonymous

the hypotenuse is 170 so we dont need to find it

- anonymous

do you know what is Trigonometric Ratios

- anonymous

alright then from there is pretty simple

- anonymous

i rounded

- anonymous

if you know Trigonometric Ratios formula you can find very easy the angle

- anonymous

ok but what are the steps i forgot

- anonymous

okay i will post the formulas and you will find wich one you need to use

- anonymous

ok

- anonymous

sin=opposite leg/ hypotenuse
cos=adjacent leg/hypotenuse
tan=opposite leg/ adjacent leg

- anonymous

know which one you need to use

- anonymous

now***

- anonymous

so I need to use cosine

- anonymous

no because you know opposite and adjacent leg

- anonymous

i also know hypotenuse it is 170

- anonymous

but on the question it said that you know opp. and adj.

- anonymous

you can use tan if you want

- anonymous

I forgot to post the hypotenuse

- anonymous

okay so you can use all

- anonymous

but which one helps me find my angle

- anonymous

all

- anonymous

you can use tan=opp./adjacent leg

- anonymous

well can you help me with the steps for cos

- Directrix

>well can you help me with the steps for cos
The cosine of an acute angle of a right triangle is the ratio of the length of the leg adjacent to the hypotenuse to the hypotenuse length.
cos(A) = 165/169.78
cos(A) = 0.9718459 approx
A = ?
|dw:1362220656246:dw|

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