find the measure of x.\nround to the nearest hundredth.
find the measure of x.\nround to the nearest hundredth.
Answer
Explanation:
Step1: Identify the trigonometric ratio
In a right - triangle, (\tan\theta=\frac{\text{opposite}}{\text{adjacent}}). Here, (\theta = 42^{\circ}), the opposite side is (17), and the adjacent side is (x). So, (\tan42^{\circ}=\frac{17}{x}).
Step2: Solve for (x)
Rearrange the formula: (x=\frac{17}{\tan42^{\circ}}). We know that (\tan42^{\circ}\approx0.9004). Then (x = \frac{17}{0.9004}). Calculate (\frac{17}{0.9004}\approx18.88).
Answer:
(18.88)