prishab2008 prishab2008
  • 24-01-2021
  • Mathematics
contestada

In AABC, m LACB 90°, CD I AB and m LACD -45°. Find:
Find CD, if BC = 3 in
459
B В
D

In AABC m LACB 90 CD I AB and m LACD 45 Find Find CD if BC 3 in 459 B В D class=

Respuesta :

akposevictor
akposevictor akposevictor
  • 29-01-2021

Answer:

CD = (3√2)/2 = 2.12 in.

Step-by-step explanation:

Reference angle = m<BCD = 45°

Hypotenuse = BC = 3 in.

Adjacent side = CD = ??

Apply trigonometric ratio

Cos(45) = CD/3

Multiply both sides by 3

3*Cos(45) = CD

3*√2/2 = CD (cos 45 = √2/2)

(3√2)/2 = CD

CD = (3√2)/2 = 2.12

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