Question

use the following diagram to answer question 5. 5. a. outline the steps you would take to find side f. b. solve for side d. round to one decimal place.

Explanation:

Step1: Find side \(e\)

In the right - triangle with height \(51\) and angle \(12^{\circ}\), use the trigonometric ratio \(\sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}\). Here, \(\sin(12^{\circ})=\frac{51}{d}\), so \(d = \frac{51}{\sin(12^{\circ})}\).

Step2: Solve for \(d\)

Calculate \(\sin(12^{\circ})\approx0.2079\). Then \(d=\frac{51}{0.2079}\approx245.3\)

Answer:

\(d\approx245.3\)