area = (1/2) * base * height
Let's call the base 10 km .
Here, I just rotated it so that the base is at the bottom and added the pink line for the height.
sin θ = opposite / hypotenuse
sin 37º = height / 7 Multiply both sides of this equation by 7 .
7 sin 37º = height
area = (1/2) * base * height
area = (1/2) * (10) * (7 sin 37º)
area = 35 sin 37º Put this into a calculator to get that...
area ≈ 21.064 square km
area = (1/2) * base * height
Let's call the base 10 km .
Here, I just rotated it so that the base is at the bottom and added the pink line for the height.
sin θ = opposite / hypotenuse
sin 37º = height / 7 Multiply both sides of this equation by 7 .
7 sin 37º = height
area = (1/2) * base * height
area = (1/2) * (10) * (7 sin 37º)
area = 35 sin 37º Put this into a calculator to get that...
area ≈ 21.064 square km