Question

Given: c= 11 and a = 10 Then the m Round to the nearest degree. Enter number answer only.

Answer 1

65 degrees

Explanation:

Relative to angle A, you are given the measure of the opposite side and the hypotenuse of the right triangle. When it comes to right triangles, we know through our trig identities that the sin of an angle is equivalent to the length of the opposite side over the hypotenuse. Therefore, we can use trig to solve this problem:

`sinA=(a)/(c)`

If we sub in the values of a and c which are given to us, we get the following:

`sinA=(10)/(11)`

To solve for A, we can take arcsin(10/11) because arcsin is inverse:

`A=arcsin((10)/(11) )`

Using a calculator, we get that A is approximately 65 degrees