Given:
To find:
Solution:
We can divide the given shape into a triangle and a rectangle.
We'll have to use Pythagoras Theorem.
[tex]\large\boxed{Formula:{a}^{2}={b}^{2}+{c}^{2}}[/tex]
In this question we have to find the hypotenuse so we'll have to add.
Let's substitute the values according to the formula.
[tex]BC= {6}^{2}+{7}^{2}[/tex]
[tex]BC= 85[/tex]
[tex]BC = \sqrt{ 85} [/tex]
[tex]\boxed{BC=9.22 \: cm}[/tex]
Now, we can find the value of "x"
- Adjacent= 7 cm
- Opposite= 6 cm
- Hypotenuse= 9.22 cm
We can use any one from SOHCAHTOA.
Here I'm using tan.
[tex]\large\boxed{Formula: tan(a)= \frac{opp}{adj}}[/tex]
Let's substitute the values according to the formula.
[tex]tan \: x= \frac{6}{7}[/tex]
We'll have to use tan inverse.
[tex]x= {tan}^{-1}(\frac{6}{7})[/tex]
[tex]\boxed{x=40.6°}[/tex]
