Use the image to answer the question.

Question

A right triangle upper A upper B upper C. The right angle, labeled B, is on the bottom left. The hypotenuse, side upper A upper C, slopes downward left to right. All sides are assigned values.

Use the inverse of tangent to find the approximate angle measure at vertex A
, rounded to the nearest whole degree.

(1 point)
Responses

53°
53°

59°
59°

37°
37°

31°

Answer 1

To find the angle at vertex A (∠A) in a right triangle using the inverse tangent, you can use the formula:

\[ \text{tan}(\text{angle}) = \frac{\text{opposite}}{\text{adjacent}} \]

In this case, if you have the lengths of the sides opposite to angle A and the adjacent side to angle A, you can calculate it using the inverse tangent function:

\[ \text{angle A} = \text{tan}^{-1}\left(\frac{\text{opposite}}{\text{adjacent}}\right) \]

Without the specific lengths of the sides provided in your description, I cannot directly compute the angle. However, if you have the lengths of the sides, you can plug them into the formula to find the angle A.

Once you do that calculation, you can then select the answer choice that is closest to your result.

Please let me know the lengths of the sides if you have them, and I'll help you calculate the angle!