Answer:
30 degrees
Step-by-step explanation:
The things we do have and want to find are as follows:
- We know that this is a right triangle, and one angle is 90 degrees
- We want to find an angle
- Relative to that angle, we are given an adjacent side as well as the hypotenuse
One equation that encompasses this is cos(θ) = adjacent/hypotenuse, so
cos(m∠H) = 10√3 / 20
For an equation of form cos(x) = y, we can say that arccos(y) = x. Therefore, we can write our equation as
m∠H = arccos(10√3 / 20)
m∠H = 30 degrees
