Question

ac =
round your answer to the nearest hundredth.
a
20°
2
b
c
?

Explanation:

Step1: Identify the trigonometric relationship

In right - triangle \(ABC\) with right - angle at \(C\), we know the cosine function is defined as \(\cos(A)=\frac{AC}{AB}\). Here, \(A = 20^{\circ}\) and \(AB = 2\).

Step2: Solve for \(AC\)

We can rewrite the cosine formula as \(AC=AB\times\cos(A)\). Substitute \(AB = 2\) and \(A = 20^{\circ}\) into the formula. Since \(\cos(20^{\circ})\approx0.9397\), then \(AC = 2\times\cos(20^{\circ})\).
\[AC=2\times0.9397 = 1.8794\]

Step3: Round the answer

Rounding \(1.8794\) to the nearest hundredth gives \(1.88\).

Answer:

\(1.88\)