Question

In this triangle, which of the following is true?

Answer 1

Answer:

Option C. x = 55° and a = 11.47 is the correct option.

Step-by-step explanation:

As we know sum of all angles of a triangle = 180°

Therefore in the triangle given

35° + 90° + x = 180°

125° + x = 180°

x = 180° - 125° °°

x = 55°

Now we we find the sine of 35°

sin35° = $\frac{\text{Height}}{\text{Hupotenuse}}$

sin35°=$\frac{a}{20}$

0.5736 = $\frac{a}{20}$

a = 20×0.5736

a = 11.47 units

Therefore, option C. x = 55° and a = 11.47 is the correct option.

Answer 2

In this triangle, which of the following is true? Solution is attached.