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7 votes
7 votes
Find the area. The number in red is the answer but I need to see how to get that answer.

Find the area. The number in red is the answer but I need to see how to get that answer-example-1
User Citronas
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2.8k points

1 Answer

16 votes
16 votes

unknown To calculate the unkonown angle, we will use the trigonometric ratio below


\tan \theta=\frac{opposite}{\text{adjacent}}

where,


\begin{gathered} \text{opposite}=76 \\ \text{adjacent}=57 \end{gathered}

By substituting the values, we will have


\begin{gathered} \tan \theta=(76)/(57) \\ \tan \theta=1.3333 \\ \theta=\tan ^(-1)1.333 \\ \theta=53.13^0 \\ \text{Appro}\xi\text{mately} \\ \theta=53^0 \end{gathered}

Hence,

The final answer is = 53°

User Loich
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2.7k points