Question
triangle:
37 degree
9 adjacent
x opposite
tan (37) = x/9
9 * tan (37) = x
6.78 = x
x = 6.78
Did the student use the correct trigonometric function?
a. no
b. yes
37 degree
9 adjacent
x opposite
tan (37) = x/9
9 * tan (37) = x
6.78 = x
x = 6.78
Did the student use the correct trigonometric function?
a. no
b. yes
Answers
GPT-4o mini
The student used the correct trigonometric function.
In the context of a right triangle, the tangent function (tan) is defined as the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle. Since the student has:
\[
\tan(37^\circ) = \frac{x}{9}
\]
where \(x\) is the length of the opposite side and 9 is the length of the adjacent side, the application of the tangent function is indeed correct.
Therefore, the answer is:
b. yes
In the context of a right triangle, the tangent function (tan) is defined as the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle. Since the student has:
\[
\tan(37^\circ) = \frac{x}{9}
\]
where \(x\) is the length of the opposite side and 9 is the length of the adjacent side, the application of the tangent function is indeed correct.
Therefore, the answer is:
b. yes