Question

Find the length of AB

Answer 1

C. 44.98

Explanation:

Hi there!

We are given the right triangle ABC, m<B=12°, and CB =44

We want to find the length of AB

We can use trigonometry to do it

Let's find the ratio in reference to angle B, as that angle is given.

In reference to angle B the opposite angle is AC, the adjacent side is CB, and the hypotenuse is AB

Now let's recall the 3 most commonly used functions:

`sine=(opposite)/(hypoptenuse)`

`cosine=(adjacent)/(hypotenuse)`

`tangent=(opposite)/(adjacent)`

Let's find the cosine of angle B, as it uses CB and AB, which are the given side and the side we need to find

In that case,

cos(12)=
`(CB)/(AB)`

cos(12)=
`(44)/(AB)`

Multiply both sides by AB

`AB`*cos(12)=44

Divide both sides by cos(12)

AB=
`(44)/(cos(12))`

Now plug
`(44)/(cos(12))` into your calculator. Make sure your calculator is on degree mode

AB≈44.98

So the answer is C

Hope this helps!