Question

find jk.
triangle image with right angle at i, side ik = 5, angle at k is 58 degrees
write your answer as an integer or as a decimal rounded to the nearest tenth.
jk =
submit

Explanation:

Step1: Use cosine function

In a right - triangle, \(\cos\theta=\frac{\text{adjacent}}{\text{hypotenuse}}\). Here, \(\theta = 58^{\circ}\), the adjacent side to the \(58^{\circ}\) angle is \(IK = 5\), and the hypotenuse is \(JK\). So, \(\cos(58^{\circ})=\frac{IK}{JK}\).

Step2: Solve for \(JK\)

We can rewrite the formula as \(JK=\frac{IK}{\cos(58^{\circ})}\). Since \(IK = 5\) and \(\cos(58^{\circ})\approx0.5299\), then \(JK=\frac{5}{0.5299}\approx9.4\).

Answer:

\(9.4\)