Question

find the length of side w? sin 68 = 70/w

Explanation:

Step1: Solve for \( w \)

Given \( \sin 68^{\circ}=\frac{70}{w} \), we can rewrite it as \( w=\frac{70}{\sin 68^{\circ}} \).

Step2: Calculate \( \sin 68^{\circ} \)

Using a calculator, \( \sin 68^{\circ}\approx0.9272 \).

Step3: Compute \( w \)

Substitute \( \sin 68^{\circ}\approx0.9272 \) into \( w=\frac{70}{\sin 68^{\circ}} \), so \( w=\frac{70}{0.9272}\approx75.50 \).

Answer:

75.50 m