the sides of a rectangle are 25 cm and 8 cm. what is the measure, to the nearest degree, of the angle formed by the short side and a diagonal of the rectangle?
Accepted Solution
A:
Answer:72°Step-by-step explanation:The lengths 25 cm and 8 cm are the sides of the rectangle.See the attached diagram of rectangle ABCD.Now, let us assume the diagonal AC makes x° angle with the shorter side BC i.e.∠ BCA = x°So, using trigonometry we can write [tex]\tan x = \frac{AB}{BC} = \frac{25}{8} = 3.123[/tex]⇒ [tex]x = \tan ^{-1} (3.125) = 72.25[/tex] degrees ≈ 72 degrees {Rounded to nearest degree} (Answer)