Question

Hello, I need help with a math problem.
Two boats start their journey from the same point A and travel along directions AC and AD, as shown below:
https://lake.flvs.net/webdav/assessment_images/educator_geometry_v19/image0014e3941ae.jpg
ABC is a right triangle with measure of angle ABC equal to 90 degrees and length of AB equal to 100 feet. There is a point C on BD such that measure of angle ACB is 60 degrees and measure of angle ADC is 30 degrees.
What is the distance, CD, between the boats?

Answer 1

you can use the fact
sin(x) = p/h
and then proceed

Answer 2

h is the hypotenuse, but what is p?

Answer 3

its the opposite side
look at this image: https://www.slideshare.net/itutor/trigonometry-24858128

\[\sin~(\theta)~=~\frac{ opposite }{ hypotenuse }\]

Answer 4

then proceed. :)