Question

find the area of this triangle. round to the nearest tenth. 15 m 22 m 115° 11 m? m²

Explanation:

Step1: Use the formula for the area of a triangle with two sides and included angle

The formula is \( A=\frac{1}{2}ab\sin C\), where \(a = 15\), \(b = 11\), and \(C=115^{\circ}\)

Step2: Substitute the values into the formula

\(A=\frac{1}{2}\times15\times11\times\sin(115^{\circ})\)
First, calculate \(\sin(115^{\circ})\approx0.9063\)
Then \(A=\frac{1}{2}\times15\times11\times0.9063\)
\(A = 7.5\times11\times0.9063\)
\(A=82.5\times0.9063\)
\(A\approx74.8\)

Answer:

\(74.8\)