Question

Find the area of the triangle. Round your answer to the nearest tenth. I need help quickly, Please.

Answer 1

16.1 units²

Explanation:

cos(20) = b/10

b = 10cos(20)

Area = ½ × b × 10sin(20)

= ½ × 10cos(20) × 10sin(20)

= 16.06969024

Answer 2

16.1 units squared

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!