Pentagon ABCDE Is the image of pentagon ABCDE under a dilation with a scale factor of 3/2 What is the length of segment overline
AE ?
2 answers:
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A
using the Cosine rule in ΔSTU
let t = SU, s = TU and u = ST, then
t² = u² + s² - (2us cos T )
substitute the appropriate values into the formula
t² = 5² + 9² - (2 × 5 × 9 × cos68° )
= 25 + 81 - 90cos68°
= 106 - 33.71 = 72.29
⇒ t = ≈ 8.5 in → A
In degrees: 3π/4 radians = 135°
Angle of x=135° is in the 2nd Quadrant and has negative cos x values and positive sin x values.
cos 135° = cos ( 90° + 45°)= - sin 45° =
sin 135° = sin ( 90° + 45° ) = cos 45° =
. You can also see the graph in the attachment.
Angle of x=135° is in the 2nd Quadrant and has negative cos x values and positive sin x values.
cos 135° = cos ( 90° + 45°)= - sin 45° =
sin 135° = sin ( 90° + 45° ) = cos 45° =