Question

using trig to find a side
question
solve for x. round to the nearest tenth, if necessary.
answer
attempt 1 out of 3
x = submit answer
copyright ©2025 deltamath.com all rights reserved.
terms & policies
deltamath.com

Explanation:

Step1: Identify the trigonometric ratio

In a right - triangle, we know that \(\sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}\). Here, \(\theta = 25^{\circ}\), the opposite side to \(\theta\) is \(KL = 3.1\) and the hypotenuse is \(KM=x\).
So, \(\sin(25^{\circ})=\frac{3.1}{x}\)

Step2: Solve for \(x\)

Cross - multiply the equation \(\sin(25^{\circ})=\frac{3.1}{x}\) to get \(x\times\sin(25^{\circ})=3.1\). Then \(x=\frac{3.1}{\sin(25^{\circ})}\).
We know that \(\sin(25^{\circ})\approx0.4226\). So \(x=\frac{3.1}{0.4226}\approx7.3\)

Answer:

\(x = 7.3\)