68.0k views
1 vote
A diagonal of a rectangle is 8cm and forms an angle measuring 30 with one side. Find the area of the rectangle. ​

1 Answer

1 vote

Answer:

Arectangle=27.68cm (approximately)

Explanation:

in order to find the area of the rectangle first you need to find the measure of the length and width.

since both of them aren't given ,use trigonometry to find the value of the length and width.

sin30°=opposite/hypotenuse

sin30°=opposite/8cm

opposite=sin30°*8cm. >sin30°=0.5

opposite=4cm

cos30°=adjacent/hypotenuse

cos30°=adjacent/8cm

adjacent=cos30°*8cm. cos30°=0.866

adjacent=6.92cm (approximate value)

Arectangle= bh

Arectangle=4cm*6.92cn

Arectangle=27.68cm

A diagonal of a rectangle is 8cm and forms an angle measuring 30 with one side. Find-example-1
User Blease
by
6.2k points