Question

If r=12 and t=20, find S. a. 35.2 c. 51.3 b. 37.5 d. 53.1

Answer 1

I can verify that D is correct

Explanation:

When you take the given information of 12 and 20 you will put this into your calculator, hit 2nd then the cos-1 button enter your values 12/20 like so and end up with the answer 53.1 Leaving D as the only option

Answer 2

Option D. 53.1°

Explanation:

The rest of question is as shown in the attached figure.

It is required to find the measure of angle S

Given that : r = 12 and t = 20

We should know that : cos (∠S) = Adjacent/Hypotenuse

∴ cos (∠S) = r/t = 12/20

use the inverse cosine function.

∴S = arc-cos (12/20) ≈ 53.1°

The correct answer is option D. 53.1°