Question

what is the length of $overline{ac}$? round to the nearest tenth.
a
55°
15 m
b
10.5 m
12.3 m
18.3 m
21.4 m

Explanation:

Step1: Identify triangle parts

Right triangle at C; ∠A=55°, BC=15m (opposite ∠A), AC=adjacent.

Step2: Apply tangent ratio

tan(55°)=opposite/adjacent=15/AC

Step3: Solve for AC

AC=15/tan(55°)≈15/1.4281≈10.5

Answer:

A. 10.5 m