Answer :
the correct answer is:
B. 38.9°
To find the degree measure of angle A in the right triangle ABC, we can use trigonometric ratios, specifically the tangent ratio.
Given:
- Angle C is 90° (right angle).
- AC = 18
- BC = 14
We can use the tangent ratio:
[tex]\[ \tan(A) = \frac{\text{opposite side}}{\text{adjacent side}} \]\\\\In this case, side opposite to angle A is BC, and the adjacent side is AC.\[ \tan(A) = \frac{BC}{AC} \]\[ \tan(A) = \frac{14}{18} \][/tex]
Now, we can use the inverse tangent function to find the measure of angle A:
[tex]\[ A = \tan^{-1} \left( \frac{14}{18} \right) \]\[ A \approx \tan^{-1} \left( 0.7778 \right) \][/tex]
[tex]\[ A \approx 38.9 \][/tex]
So, the approximate degree measure of angle A is 38.9°.
Therefore, the correct answer is:
B. 38.9°
What is the approximate degree measure of angle A in the right angle triangle below?
A. 37.9
B. 38.9
C. 51.1
D. 52.1
