Question

if r = 24.9 and s = 18.9, find s. round to the nearest tenth
s = 37.2°
s = 38.2°
s = 39.2°
s = 36.2°

Explanation:

Step1: Recall tangent - ratio formula

In right - triangle \(RST\) with right - angle at \(T\), \(\tan S=\frac{s}{r}\).

Step2: Substitute given values

Given \(r = 24.9\) and \(s = 18.9\), then \(\tan S=\frac{18.9}{24.9}\approx0.759\).

Step3: Find the angle

We know that if \(\tan S = 0.759\), then \(S=\arctan(0.759)\). Using a calculator in degree mode, \(S\approx37.2^{\circ}\).

Answer:

\(S = 37.2^{\circ}\)