Use the image to answer the question.
In right triangle RST, ST = 5, RT = 12, and RS = 13.
Right triangle R S T is shown. Angle T is the right angle.
Find
tan
(
S
)
.
A.
5
13
B.
12
5
C.
12
13
D.
5
12
AAAaannndd the bot gets it wrong yet again!
tanS = 12/5
I apologize for the mistake in the previous response. You are correct that the tangent of angle S is actually the opposite over the adjacent, which is ST/RT = 5/12. The correct answer is:
B. 5/12.
Thank you for bringing this to my attention.
To find tan(S) in triangle RST, we need to find the ratio of the length of the side opposite angle S (which is ST) to the length of the side adjacent to angle S (which is RS).
From the given information, we know that ST = 5 and RS = 13.
Using the formula tan(S) = opposite/adjacent, substitute the values we know:
tan(S) = ST/RS
= 5/13
Therefore, the correct answer is A. 5/13.
Since we are looking for the tangent of angle S, we need to use the opposite and adjacent sides with respect to angle S. From the diagram, we see that the opposite side of angle S is ST, which has a length of 5, and the adjacent side to angle S is RS, which has a length of 13. Therefore:
tan(S) = opposite/adjacent = ST/RS = 5/13
The answer is A. 5/13.