Question

Use the image to answer the question.(The image shows a right triangle $ABC$. The right angle is at vertex $C$. Side $AC$ is 5, side $BC$ is 12, and the hypotenuse $AB$ is 13.)Use the inverse of tangent to find the approximate measure of angle $A$, rounded to the nearest whole degree.Answer Choices$67^\circ$$43^\circ$$23^\circ$$21^\circ$

Answer 1

In right triangle ABC (right at C), tan(A) = opposite/adjacent = BC/AC = 12/5 = 2.4.
A = arctan(2.4) ≈ 67.4°, so rounded to the nearest degree A ≈ 67°. Answer: 67°.