Mathematics: Find the measure of the indicated angle to the nearest degree.

Find the measure of the indicated angle to the

julie66491

25.08.2021

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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