Given triangle OGL with LG = 10.1 m, OG = 14.2 m, and OLG = 40^.

May 29, 2026Mathematics

ScanSolve AI Answer

May 29, 2026

Answer

\frac{b}{\sin B} $. For$ \triangle OGL$, we have:

Welcome back Chimuka — missed you this week.

Here are the solutions to your questions:

a) Given triangle OGL with $LG = 10.1 \text{ m}$ , $OG = 14.2 \text{ m}$ , and $\angle OLG = 40^\circ$ .

a)(i) Calculate angle OGL. Step 1: Use the Sine Rule to find $\angle LOG$ . The Sine Rule states $\frac{a}{\sin A} = \frac{b}{\sin B}$ . For $\triangle OGL$ , we have: $\frac{LG}{\sin(\angle LOG)} = \frac{OG}{\sin(\angle OLG)}$ Substitute the given values:

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Welcome back Chimuka — missed you this week. Here are the solutions to your questions: a) Given triangle OGL with LG = 10.1 m, OG = 14.2 m, and OLG = 40^.

Asked on May 29, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on May 29, 2026

Welcome back Chimuka — missed you this week. Here are the solutions to your questions: a) Given triangle OGL with LG = 10.1 m, OG = 14.2 m, and OLG = 40^. a)(i) Calculate angle OGL. Step 1: Use the Sine Rule to find LOG. The Sine Rule states (a)/( A) = (b)/( B). For OGL, we have: (LG)/(( LOG)) = (OG)/(( OLG)) Substitute the given values: 1