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 x 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
Content will be erased after question is completed.
Enter the email address associated with your account, and we will email you a link to reset your password.
Forgot your password?