Question

Find the value of x in the given right triangle

Answer 1

5.6

Explanation:

NOT 6.

`cos62=(x)/(12)`

`12cos(62)=x`

`12cos(62)`

^^ for the last part i couldn't add the multiplication symbol so ill just type it out

12 · cos(62)

and so, that would equal 5.63365.... but since we have to round it to the nearest 10ths it will be 5.6 :)

btw symbolab.com is a great ( calculator ) website for stuff like this

Answer 2

The answer is 6

Explanation:

To find x we use cosine

cos∅ = adjacent / hypotenuse

From the picture

x is the adjacent

12 is the hypotenuse

∅ = 62°

So we have

`\cos(62) = (x)/(12) \\ x = 12 \cos(62) \\ x = 5.633`

The final answer is

6.00 to the nearest tenth.

Hope this helps you