Respuesta :

We know that :

[tex]Tan\theta = \frac{Opposite\;Side}{Adjacent\;Side}[/tex]

From the Figure :

[tex]Tanx = \frac{Height\;of\;the\;Tree}{Shadow\;of\;the\;Tree}[/tex]

Given : Height of the Tree = 10 m

            Length of its Shadow = 17.3 m

⇒ [tex]Tanx = \frac{10}{17.3} = 0.578[/tex]

⇒ [tex]x = Tan^-^1(0.578)[/tex]

⇒ x° = 30°

AL2006

Do you see the right triangle in the picture ?

The TANGENT of angle-x is 10m/17.3m. Do the division, find that number, then use your calculator or search online to find the angle that has that number for its tangent.

I get roughly 30 degrees, but you should check me.