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Artemon [7]
3 years ago
7

In the triangle shown we can find the angle θ as follows calculator

Mathematics
1 answer:
Xelga [282]3 years ago
3 0
Given a right triangle with hypothenus of measure 34, the side opposite the angle θ of measure 30, and the side adjacent the angle theta of measure 16.

\sin\theta= \frac{opposite}{hypothenuse} = \frac{30}{34} = \frac{15}{17}  \\  \\ \Rightarrow \theta=\sin^{-1}\left( \frac{15}{17} \right) \\  \\  \\ \cos\theta= \frac{adjacent}{hypothenuse} = \frac{16}{34} = \frac{8}{17}  \\  \\ \Rightarrow \theta=\cos^{-1}\left( \frac{8}{17} \right) \\  \\  \\ \tan\theta= \frac{opposite}{adjacent} = \frac{30}{16} = \frac{15}{8}  \\  \\ \Rightarrow \theta=\cos^{-1}\left( \frac{15}{8} \right)
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