use the inverse trigonometric keys on a calculator to find the measure of angle a.\na = (square^{circ})…

use the inverse trigonometric keys on a calculator to find the measure of angle a.\na = (square^{circ}) (round the answer to the nearest whole number.)

use the inverse trigonometric keys on a calculator to find the measure of angle a.\na = (square^{circ}) (round the answer to the nearest whole number.)

Answer

Explanation:

Step1: Identify trigonometric ratio

In right - triangle (ABC), we know the adjacent side ((AC = 35) m) and the hypotenuse ((AB=44) m) to angle (A). We use the cosine function (\cos(A)=\frac{AC}{AB}). So, (\cos(A)=\frac{35}{44}).

Step2: Use inverse cosine

To find angle (A), we use the inverse - cosine function (A = \cos^{-1}(\frac{35}{44})). Using a calculator, (A=\cos^{-1}(\frac{35}{44})\approx37.6^{\circ}).

Step3: Round the answer

Rounding (37.6^{\circ}) to the nearest whole number, we get (A = 38^{\circ}).

Answer:

(38)