Question

Area of a triangle: sine formula please round to the nearest tenth

Answer 1

First we are going to calculate the height of the triangle using the right triangle that is formed:

We use the sine to calculate the leg opposite the angle:

`\begin{gathered} sin\theta=(opposite)/(hypotenuse) \\ sin(27º)=(VX)/(13m) \\ VX=sin(27º)\cdot(13m) \\ VX=(0.454)\cdot(13m) \\ VX=5.9m \end{gathered}`

To calculate the area we use the equation for the area of the triangle:

`\begin{gathered} A=(b\cdot h)/(2) \\ b=26m \\ A=(26m(5.9m))/(2) \\ A=(153.4m^2)/(2) \\ A=76.7m^2 \end{gathered}`