A rhombus has 10-in. Sides, two of which meet to form the indicated angle. Find the area of the rhombus.(Hint: Use a special right triangle to find height.) The angle is 30 degrees.

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

its 8

step-by-step explanation: