Question

In ΔBCD, the measure of ∠D=90°, BD = 13, DC = 84, and CB = 85. What is the value of the cosine of ∠C to the nearest hundredth?

Answer 1

Answer: 0.99

Step-by-step explanation: sin 90 Divided by 85 = sin x divided by 13

sin x =13x sin 90 divided by 85

sin x = 13divided by 85

sin x = .152941176

arc sine of .152941176= 8.79741071 degrees

cos 8.79741071 = .988235294

.99