find st.\nwrite your answer as an integer or as a decimal rounded to the nearest tenth.\nst = \nsubmit
find st.\nwrite your answer as an integer or as a decimal rounded to the nearest tenth.\nst = \nsubmit
Answer
Explanation:
Step1: Use trigonometric ratio
In right - triangle (UST), (\tan\theta=\frac{\text{opposite}}{\text{adjacent}}). Here, (\theta = 54^{\circ}), the opposite side to (\theta) is (US = 7), and the adjacent side is (ST). So, (\tan(54^{\circ})=\frac{US}{ST}).
Step2: Solve for (ST)
Since (\tan(54^{\circ})\approx1.376) and (\tan(54^{\circ})=\frac{7}{ST}), then (ST=\frac{7}{\tan(54^{\circ})}). Substitute (\tan(54^{\circ})\approx1.376) into the formula: (ST=\frac{7}{1.376}\approx5.1)
Answer:
(5.1)