Given: abc is a right triangle with right angle c. ab=14 centimeters and m∠a=33∘ . what is ac ?

Step-by-step explanation:

Given right triangle ABC with right angle at C.

Also side AB = 14 centimeters and

m∠A=33° .

We need to find the length of side AC.

Because < C is right angle, therefore side AB would be Hypotenuse (longest side) of the right triangle.

And side AC would become adjacent side of angle <A.

So, in order to find the side length AC, we can apply cosine ratio.

We know,

Plugging values of adjacent side and Hypotenuse and <A in above formula, we get

cos 33° =

cos 33° =

Plugging cos 33° = 0.83867, we get

0.83867=

On cross multiplying both sides by 14, we get

0.83867×14=

11.74 = AC.

its 50 miles away from the starting point