Question

What is the approximate measure of angle I in a right triangle with b=20 and c=21.

17.75
46.4
43.6
72.25

Answer 1

First we are going to draw our triangle as you can see in the attached image.
Next, we are going to solve it.
To find angle A, we need a trig function that relates the adjacent side with the hypotenuse. That function is cosine, so:

`cosA= (adjacent.side)/(hypotenuse)`

`cosA= (20)/(21)`

`A=arccos( (20)/(21) )`

`A=17.75`

We can conclude that the measure of angle A is 17.75°.

Now, to find angle B we can use the fact that the sum of the interior angles of a triangle is always 180°:

`B=180-(90+17.75)`

`B=180-107.75`

`B=72.25`

We can conclude that the measure of angle B is 72.25°.