Question

Please explain: Find the measure of angle A. a. 32 b. 57 c. 59 d. No angle exists.

Answer 1

57 deg

Explanation:

(see attached for reference)

we are given a right triangle together with the lengths of one side (= 14 units) and the hypotenuse (= 26 units)

Using the trigonometry formulas, we can find angle A

cos A = adjacent length / hypotenuse

cos A = 14 / 26

A = cos⁻¹ (14/26) (use calculator)

A = 57.42 deg

A = 57 deg (rounded to nearest whole degree)

Answer 2

The answer is option B.

57°

Explanation:

To find Angle A we use cosine

cos ∅ = adjacent / hypotenuse

From the question

The adjacent is 14

The hypotenuse is 26

So we have

cos A = 14/26

cos A = 7/13

A = cos-¹ 7/13

A = 57.42

A = 57° to the nearest degree

Hope this helps you