Question

error analysis

tan(37) = \frac{x}{9}
9\cdot\tan(37) = x
6.78 = x
\boxed{x = 6.78}

did the student use the correct trigonometric function?
(1 point)
\bigcirc yes
\bigcirc no

Explanation:

For the 37° angle, the side labeled $x$ is opposite to the angle, and the side labeled 9 is the hypotenuse (not adjacent). The tangent function uses opposite/adjacent, but here we have opposite/hypotenuse, which is the sine function. The student incorrectly identified the sides and used the wrong trigonometric function.

Answer:

No