Question

consider the enlargement of the triangle.
rounded to the nearest tenth, what is the value of x?

Explanation:

Step1: Set up proportion

Since the triangles are similar, the ratios of corresponding sides are equal. So, \(\frac{1.7}{3.5}=\frac{9.3}{x}\).

Step2: Cross - multiply

Cross - multiplying gives \(1.7x = 3.5\times9.3\).

Step3: Calculate the right - hand side

\(3.5\times9.3 = 32.55\). So, \(1.7x=32.55\).

Step4: Solve for \(x\)

Divide both sides by \(1.7\): \(x=\frac{32.55}{1.7}\).

Step5: Perform the division

\(x = 19.1470588\approx19.1\) (rounded to the nearest tenth).

Answer:

\(19.1\) feet