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34kurt
3 years ago
11

Find the measure of the indicated angle to the nearest degree.​

Mathematics
1 answer:
Paladinen [302]3 years ago
3 0

Using Pythagorean triplete

\\ \sf\longmapsto h^2=33^2+8^2

\\ \sf\longmapsto h^2=1089+64

\\ \sf\longmapsto h^2=1153

\\ \sf\longmapsto h=\sqrt{1153}

\\ \sf\longmapsto h=33.9

\\ \sf\longmapsto h\approx34

Now

\boxed{\sf sin\theta=\dfrac{h}{P}}

\\ \sf\longmapsto sin\theta=\dfrac{34}{8}

\\ \sf\longmapsto sin\theta=4.2

\\ \sf\longmapsto 2sin\theta=sin60

\\ \sf\longmapsto \theta=30°

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