Question

In the following Figure. AD = 4 cm, BD = 3 cm and CB = 12 cm, find the cot θ.

 

 

Options

• \[\frac{12}{5}\]

• \[\frac{5}{12}\]

• \[\frac{13}{12}\]

• \[\frac{12}{13}\]

Answer 1

We have the following given data in the figure, `AD=4cm, BD=3 cm, CB=12 cm`

Now we will use Pythagoras theorem in, ΔABD 

`AB=sqrt(3^2+4^2)` 

= 5 cm

Therefore, 

`cot θ  =( CB)/(AB)`

=`12/5`