Question

Q. In given figure, the value of Angle C is:
C
14 cm
7 cm
A
B​

Answer 1

Given,

In the right triangle ABC,

AC = 14 cm

BC = 7 cm

To find,

The value of angle C.

Solution,

The value of angle C will be 60°.

We can easily solve this problem by following the given steps.

We know that the value of Cos is found by dividing the base by the hypotenuse.

For angle C, the base is BC and the hypotenuse is AC.

Then, we have

Cos C = Base/hypotenuse

Cos C = BC/AC

Cos C = 7/14

Converting the fraction into the simplest form by dividing both the numerator and denominator by 7,

Cos C = 1/2

We know that the value of Cos 60° is 1/2.

So, angle C = 60°

( We can also find angle A by equating the sum of the three angles to 180°.)

Hence, the value of angle C is 60°.

Answer 2

Answer:

The value of Angle c = 60°

Step-by-step explanation:

From given figure  AC = 14 cm

                               BC = 7 cm

                     angle ∠B = 90°

from right angled triangle ABC   cos c = $\frac{adjacent side}{hypotenuse}$   = $\frac{BC}{AC}$  

                                 =  $\frac{7}{14}$  = $\frac{1}{2}$   ⇒  cos c =1/2

from trigonometric values   cos 60° = 1/2

                                             angle C = 60°  

⇒ correct answer is option (a) 60°