Respuesta :

For this we use AAS
so first angle 30 degrees 
then second angle 90 degrees
and the length side of let's call it b = 150

By using Law of Sines 
we find that angle a (the tree) is 259.808 ft tall
(you can round to the nearest foot)

Hope this helps ;)

The  tree is [tex]150\sqrt{3} feet[/tex]  tall to the nearest of the foot.

Angle of elevation:

The  angle formed by the line of sight and the horizontal plane for an object above the horizontal.

According to the question

We have,

shadow that is 150 feet long.

Angle of elevation = 30 degrees

Let the tree is h feet tall.

In the , PQR we have

[tex]tan30=\frac{h}{150}[/tex]

[tex]\frac{1}{\sqrt{3} } =\frac{h}{150}[/tex]

[tex]h=\frac{150}{\sqrt{3} }[/tex]

[tex]h=150\sqrt{3}[/tex] feet.

Hence, the tree is [tex]150\sqrt{3} feet[/tex] tall.

Learn more about the angle of elevation here:

https://brainly.com/question/21137209

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