Question

Determine o ângulo de elevação do sol, no momento em que uma vara de 4,33m projeta uma sombra de 2,7 m

Answer 1

$Ol\acute{a}~~\mathbb{MINA} \\ \\ Ilustrando~temos: \\ \\ ~~~~~~~~~~~~~~~~~~4,33m\Bigg| ^{\diagdown} ~~\diagdown \\ .~~~~~~~~~~~~~~~~~~~~~~~~~|\underline{~~~~~~~ \alpha (\diagdown } \\ ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~2,7m$

$Por~trigonometria~temos: \\ \\ tg \alpha = \frac{4,33\not m}{2,7\not m} ~~---\ \textgreater \ cortamos~(m) ~fica \\ \\ tg \alpha = \frac{4,33}{2,7} \\ \\ tg \alpha =1,6037037037......~~---\ \textgreater \ aproximando~seria: \\ \\ tg \alpha =1,6037~~--\ \textgreater \ por~arcotangente~temos: \\ \\ \alpha =actg1,6037 \\ \\ \boxed{\boxed{\alpha =58,1\°}}~~---\ \textgreater \ \hat{a}ngulo~de~elevac\tilde{a}o~do~sol.$

$\mathbb{aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa} \\ ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~Espero~ter~ajudado!!$