Answer:
a = 4.5
b = 2.1
B = 25°
Solving for a, step-by-step explanation:
From angle A, we are given the hypotenuse (c = 5), the opposite side (solving for a), and angle A (A = 65°). We can use a trigonometric function to solve. Here, we will use sine.


5sin(65) = a
a = 4.5315 ≈ 4.5
Solving for b, step-by-step explanation:
Similar to solving for a, we will use a trigonometric function to solve. Here, we will use cosine. We are given the hypotenuse (c = 5), adjacent side (solving for b), and angle A (A = 65°).


5cos(65) = 5
a = 2.11309 ≈ 2.1
Solving for B, step-by-step explanation:
We know that a triangle's angles add up to 180 degrees. Since we are given that this is a right triangle (90°) and that A is equal to 65 degrees, we can solve for B with a pretty simple subtraction equation.
180° - 90° - 65° = B
25° = B
B = 25°