Question

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

Answer 1

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

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

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

$\\ \sf\longmapsto sin\theta=4.2$

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

$\\ \sf\longmapsto \theta=30°$