Odpowiedź:
[tex]\alpha = 42[/tex]
[tex]\beta =31[/tex]
[tex]\frac{10}{|AD|} = tg\alpha\\|AD| = \frac{10}{tg\alpha}[/tex]
tg42° = 0,9004
[tex]|AD| = \frac{10}{0,9004} = 11,106[/tex]
[tex]\frac{10}{|DB|} = tg\beta \\|DB| = \frac{10}{tg\beta }[/tex]
tg31°=0,6009
[tex]|DB| = \frac{10}{0,6009} = 16,641[/tex]
Zatem:
[tex]|AB| = |AD| + |DB|\\|AB| = 11,106 + 16,641 = 27,7477[/tex]
(podana wartość to także przybliżenie)
odp. A
