Question

in the diagram below, (\triangle jklsim\triangle mkn). find (q).
write your answer as a whole number or a decimal. do not round.
(q=) meters

Explanation:

Step1: Use the property of similar triangles

Since \(\triangle JKL\sim\triangle MKN\), the ratios of corresponding sides are equal. That is \(\frac{JL}{MN}=\frac{q}{45}\).

Step2: Substitute the given values

We know \(JL = 50\) m and \(MN=75\) m. So \(\frac{50}{75}=\frac{q}{45}\).

Step3: Solve for \(q\)

Cross - multiply: \(75q=50\times45\). Then \(q=\frac{50\times45}{75}\).
Calculate \(50\times45 = 2250\), and \(2250\div75=30\).

Answer:

\(30\)