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find the size of the angle a such that tan a = 1.9, with 0° < a < 90°. …

Question

find the size of the angle a such that tan a = 1.9, with 0° < a < 90°. 62.8° 62.4° 62.6° 62.0° 62.2°

Explanation:

Step1: Use inverse - tangent function

We know that if $\tan A = 1.9$, then $A=\arctan(1.9)$.

Step2: Calculate the angle

Using a calculator in degree - mode, $A=\arctan(1.9)\approx62.2^{\circ}$.

Answer:

$62.2^{\circ}$