Answer:
16.1 units squared
Step-by-step explanation:
We need to use trigonometry.
To find h, we need to use sine, which is opposite over hypotenuse:
sin(20) = h/10
Solving for h, we have: h = 10 * sin(20) ≈ 3.42.
To find b, we need to use cosine, which is adjacent over hypotenuse:
cos(20) = b/10
Solving for b, we get: b = 10 * cos(20) ≈ 9.40.
Now the area of a triangle is (1/2) * b * h. So, plug the values in:
(1/2) * 9.40 * 3.42 ≈ 16.1 units squared.
Hope this helps!
