Question

Helppp please show work

Answer 1

Step-by-step 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,

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

Solution:

$\longrightarrow \rm \cos(B) = \dfrac{BC}{AB}$

$\longrightarrow \rm \cos(B) = \dfrac{9.5}{11}$

$\longrightarrow \rm \cos(B) = \dfrac{95}{110}$

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

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

Therefore:

• Cos B equals 0.9