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 = (Opposite \ Side)/(Hypotenuse)}}`

`\implies \sf{Sin\theta = (7)/(11)}`

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

`\implies \sf{\theta = 39.52^(\circ)}`

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