Question

PLZ HELP ME OUT WITH THIS!!!!!!!!

Answer 1

Answer:

B. 25√3

Step-by-step explanation:

Use trigonometric ratio formula to find the length and width of the rectangle

Thus:

✔️Length of diagonal:

Reference angle = 30°

Hypotenuse = 10

Let length of rectangle = x = adjacent side

Therefore:

Cos 30° = x/10

10*cos 30 = x

10*√3/2 = x (cos 30 = √3/2)

5√3 = x

x = length of rectangle = 5√3

✔️Width of diagonal:

Reference angle = 30°

Hypotenuse = 10

Let width of rectangle = y = opposite side

Therefore:

Sin 30° = y/10

10*sin 30 = y

10*½ = y (sin 30 = 1/2)

5 = y

y = width of rectangle = 5

✔️Area of rectangle = length * width = 5√3 * 5 = 25√3