MATH SOLVE

3 months ago

Q:
# What is the value of y?11.6 ft12.5 ft16.5 ft17.5 ft

Accepted Solution

A:

we know that

in the triangle BCD

cos C=8/14

C=arc cos (8/14)-----> C=55.15°

sin C=BD/14---------> BD=14*sin 55.15------> BD=11.49 ft

in the triangle ABC

180=∡A+∡B+∡C

∡A=180-(90+55.15)-----> ∡A=34.85°

tan A=BD/y-------> y=BD/tan A-----> y=11.49/tan 34.85----> y=16.50 ft

the answer is

y=16.50 ft

in the triangle BCD

cos C=8/14

C=arc cos (8/14)-----> C=55.15°

sin C=BD/14---------> BD=14*sin 55.15------> BD=11.49 ft

in the triangle ABC

180=∡A+∡B+∡C

∡A=180-(90+55.15)-----> ∡A=34.85°

tan A=BD/y-------> y=BD/tan A-----> y=11.49/tan 34.85----> y=16.50 ft

the answer is

y=16.50 ft