Answer: Angle A = 75°
Hypotenuse c = 8
We need to find the length of side b. Since it's a right triangle, we can use the sine function:
sin(A) = opposite side / hypotenuse sin(75°) = b / 8
To find the value of b, we can rearrange the equation:
b = 8 × sin(75°)
Using a calculator or trigonometric tables, we find:
sin(75°) ≈ 0.966
Now, multiply both sides by 8:
b ≈ 8 × 0.966 b ≈ 7.73
So, the length of side b is approximately 7.73 units.
Here's the work:
sin(A) = b / 8
sin(75°) = b / 8
b = 8 × sin(75°)
b ≈ 8 × 0.966
b ≈ 7.73
Step-by-step explanation:
