The sides and angles of a right triangle are labeled.
Use the inverse of cosine to find the indicated missing angle. Round your answer to the nearest tenth.
In a right triangle, we have:
Side opposite the angle: 10
Hypotenuse: 15
We want to find angle A, which is opposite to the side with length 10.
Using the definition of cosine:
cos(A) = adjacent / hypotenuse
cos(A) = 10 / 15
cos(A) = 2/3
To find angle A, we take the inverse cosine of 2/3:
A = cos^(-1)(2/3)
A ≈ 48.2 degrees
So, the missing angle A is approximately 48.2 degrees.