Question

Use the image to answer the question.

The sides and angles of triangle upper A upper B and upper C are labeled. Side upper B upper A is labeled 45 and side upper C upper A is labeled 32. Angle upper C is marked with a small square box.

Use the inverse of cosine to find the interior angle measure of vertex A
. Round your answer to the nearest whole degree.

(1 point)
θ≈

°

Answer 1

Angle C is a right angle, so AB is the hypotenuse. cos A = AC/AB = 32/45.
A = arccos(32/45) ≈ 44.7° ≈ 45° (to the nearest degree).