100 POINTS! NO CHATGPT OR ELSE I WILL REPORT AND DELETE YOUR 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 300 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? (1 point)


213.2 ft


115.5 ft


230.9 ft


346.4 ft




Use the image below to answer the following question:


A right triangle is shown. The two angles that are not 90 degrees are marked x and y. The leg across from angle y measuring 5, another leg across from angle x measuring 12, and the hypotenuse measuring 13.


What relationship do the ratios of sin x° and cos y° share? (1 point)


The ratios are both identical. (12 over 13 and 12 over 13)


The ratios are opposites. (negative 12 over 13 and 12 over 13)


The ratios are reciprocals. (12 over 13 and 13 over 12)


The ratios are both negative. (negative 12 over 13 and negative 13 over 12)






The figure below shows a triangular piece of cloth:


Triangle ABC has angle ABC equal to 90 degrees and angle BAC equal to 32 degrees. Length of AC is 6 inches.


What is the length of the portion BC of the cloth? (1 point)


6 cos 32°


6 sin 32°


cos 32 degrees divided by 6


sin 32 degrees divided by 6