Question

block below. click \grade answer\ to have your answer graded. triangle 4 of 12 θ = items correct: 2 points earned: 16.66

Explanation:

Step1: Recall the sine function

In a right - triangle, \(\sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}\). Here, the side opposite to \(\theta\) is \(95.686\) cm and the hypotenuse is \(125.61\) cm. So, \(\sin\theta=\frac{95.686}{125.61}\).

Step2: Calculate the value of \(\sin\theta\)

\(\frac{95.686}{125.61}\approx0.762\).

Step3: Find \(\theta\) using the inverse sine function

\(\theta=\sin^{- 1}(0.762)\). Using a calculator, \(\theta\approx49.7^{\circ}\)

Answer:

\(49.7\)