Question

Find the measure of C to the nearest degree.

Answer 1

Let the ∠C be : θ

From the figure, We can see that the Side which is opposite to angle θ is measuring 7 units

Also, We can notice that Hypotenuse is 11 units

As we are dealing with opposite and hypotenuse, we can clearly use Sinθ to find out the angle θ

We know that :

$\bigstar \ \ \boxed{\sf{Sin\theta = \dfrac{Opposite \ Side}{Hypotenuse}}}$

$\implies \sf{Sin\theta = \dfrac{7}{11}}$

$\implies \sf{\theta = Sin^{-1}\bigg(\dfrac{7}{11}\bigg)}$

$\implies \sf{\theta = 39.52^{\circ}}$

Answer : The measure of ∠C to the nearest degree is 38°