Question

Helppp please show work

Answer 1

Explanation:

Given that:-

• Side AC measures 6 units
• Side BC measures 9.5 units
• Side AB measures 11 units

To find:-

• The cosB as a decimal rounded to the nearest hundredth

We know that,

`{ \bigstar \: { \underline{ \boxed{ \cos( \theta ) \: = \sf(adjecent \: side)/(hypotenuse) }}}}`

Solution:

`\longrightarrow \rm \cos(B) = (BC)/(AB)`

`\longrightarrow \rm \cos(B) = (9.5)/(11)`

`\longrightarrow \rm \cos(B) = (95)/(110)`

`\longrightarrow \rm \cos(B) = 0.8 63`

`\longrightarrow \rm \cos(B) \approx \: 0.9`

Therefore:

• Cos B equals 0.9