A diagonal of a rectangle is 8cm and forms an angle measuring 30 with one side. Find the area of the rectangle.
1 answer:
Answer:
Arectangle=27.68cm (approximately)
Step-by-step explanation:
<em>in order to find the area of the rectangle first you need to find the measure of the length and width.</em>
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
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