PLEASE HELPPPPP!!!!!!!!
1 answer:
The measure of angle A is 52.7 degrees option (D) 52.7 degrees is correct.
<h3>What is the triangle?</h3>In terms of geometry, the triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.
The missing figure is attached to the picture, please refer to the picture.
It is given that:
Given ΔABC with m∠B = 62°, a = 14, and c = 16
Let angle A = x
From the trigonometric ratios:
sin62 = CD/14
CD = 12.36
cos62 = DB/14
DB = 6.57
AD = AB - DB
AD = 16 - 6.57 = 9.42
tanA = CD/AD
tanA = 12.36/9.42 = 1.312
A = 52.68 ≈ 52.7 degrees
Thus, the measure of angle A is 52.7 degrees option (D) 52.7 degrees is correct.
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