Question

Use the image to answer the question.

The hypotenuse of a right triangle is labeled 5 and the sides are labeled 3 and 4. The angle across from the side labeled 3 is labeled theta. A right angle symbol marks the right angle.

Use the inverse of cosine to solve for the missing angle, rounded to the nearest whole degree.

(1 point)
Responses

1°
1°

53°
53°

37°
37°

90°

Answer 1

cos θ = adjacent/hypotenuse = 4/5 = 0.8, so θ = arccos(0.8) ≈ 36.9° ≈ 37°.