Question

Two boats start their journey from the same point A and travel along directions AC and AD, as shown below:

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

284.3 ft
115.5 ft
230.9 ft
173.2 ft

Answer 2

Bro, are you familiar with trig?

Answer 3

if yes, we can solve

Answer 4

First look at the triangle ACD

You know one angle is 30

you can get angle C very easily

so you will quickly be able to tell me if ACD is isosceles

If so it will make this easy...

Answer 5

230.9

Answer 6

using tan func we get "TOA" which is Tan= OPP/ADJ then, all we need is to define BD=x and CD=y

We need CD

Answer 7

@rohan 230.9 is not correct

Answer 8

eventually, you'll end up with