Answer:
50 in²
Step-by-step explanation:
Given that the side of the rhombus is 10 in, and it has an angle of 30°
The formula for the angle in a rhombus is given as
Sin Φ = height / side
Sin 30 = height / 10
height = 10 * sin 30
height = 10 * 0.5
height = 5 inches
One of the formulas for calculating the area of a rhombus is given as
Area = height * side, and thus, we have
Area = 5 * 10
Area = 50 square inches.
Therefore, the area of the rhombus is calculated to be 50 in²
