Help with geometry problem

Mathematics
Tutor: None Selected Time limit: 1 Day

Nov 3rd, 2015

Thank you for the opportunity to help you with your question!

Here we are going to need to use one of the three trigonometric identities:

sin(x) = opposite / hypotenuse,   cos(x) = adjacent / hypotenuse,   tan(x) = opposite / adjacent

We are given the length of the hypotenuse (the longest side) and the angle  and we are asked to find the length of the opposite side.

Therefore we will use the equation sin(x) = opposite / hypotenuse.

To find the value of the opposite side, we can rearrange this equation to leave opposite by itself on one side of the equals sign:

sin(x) * hypotenuse = opposite

Substituting our values for x and the hypotenuse we get:

opposite = sin(47) * 51

Using a calculator this gives:

opposite = 37.3

and so the answer is a = 37.3

Please let me know if you need any clarification. I'm always happy to answer your questions.
Nov 3rd, 2015

Studypool's Notebank makes it easy to buy and sell old notes, study guides, reviews, etc.
Click to visit
The Notebank
...
Nov 3rd, 2015
...
Nov 3rd, 2015
Dec 6th, 2016
check_circle
Mark as Final Answer
check_circle
Unmark as Final Answer
check_circle
Final Answer

Secure Information

Content will be erased after question is completed.

check_circle
Final Answer